So let's agree about the goal of creating a timeless impregnated paper that can be displayed on it's own without frame.
My approach then would be to create a tube as you earlier discussed (and is used in wood vacuum drying systems) and use it as a soaking mechanism. Roll the paper gently and put string around it so that it will be a 1/2 inch from the wall of the tube - let's call it a 4" PVC drain tube with an end cap on one end and a permanent cap on the other. The tube is filled with timeless. the paper has been printed. The paper goes into the tube filled with Timeless and soaks fully, for several days, preferably while being agitated by a device like those wave machines. After several days, the Timeless soaked print is pulled from the Timeless, unrolled, and layed down on the flat vacuum press. The felts, etc., are laid on top and bottom and the vacuum material (which is like a heavy/light plastic with a tube running in it from the vacuum machine pulls the plastic down hard on the felt/print sandwich. Eventually, the timeless is pulled out of the print, but no doubt a good deal is left behind since it has been soaking in it for several days. Trial and error determines how much and how long to pull the vacuum, and what results is matte and or gloss finish. Actually I'd think once the print dried, an easy light coat or several could be rolled or sprayed on for gloss, etc. The main objective would be to impregnate the print so it could withstand elements, etc. Another thing to consider would be to soak the print in Timeless and run it through a wringer roller. But I like pulling the vacuum better.
Actually once the vacuum stuff was built , both a tubular chamber and a flat table press, it might not be too bad.
Having a large paper press wouldn't hurt, either. Once the sheets were dried, they could be pressed flat.
Many many possibilities.
Come on Shadow blade, give me a first name. After all, we're getting to know each other now....
Mark
You wouldn't need to soak it for several days. In a vacuum environment, there is no air in the pores between fibres in the paper and Timeless would fill it quickly - in a matter of minutes. Surface tension makes it energetically favourable to do so. A surfactant added to the solution would only help it along. I also doubt you'd want to soak it for several days - even with external and internal sizing, I suspect you'd run the risk of saturating the paper fibres with water, causing them to weaken, break down or distort out of shape, as well as risking the image itself running or breaking down.
The procedure I'm envisaging would be something like this:
1) Fill the bottom of the tubular vacuum chamber with sealant
2) Place the rolled-up print in a wire mesh basket in the top of the chamber
3) Seal the chamber and turn on the vacuum. Wait a few minutes for all the air to be drawn out of the paper
4) Lower the basket containing the print into the sealant. Allow a few minutes (up to half an hour) for it to be fully saturated
5) With the vacuum still on, extract the basket from the sealant
6) Turn the vacuum off. The increase in air pressure should force the sealant even further into the paper
7) Remove the print from the vacuum chamber and place it face-up on a felt pad on the vacuum table. Place another felt pad over the print before covering the whole table with a plastic film, to complete the seal.
Turn on the vacuum table. Run it until you can no longer see a distinct layer of sealant on the surface of the paper.
9) Remove the paper and allow it to dry flat. It should remain flexible, but you don't want to induce any curl
10) As a final step, spray with something like Hahnemuhle Protective Spray, Lascaux Fixative or another protective spray, to further protect the surface (since the ink layer, although saturated with sealant and stabilised by it, only has a very thin layer of sealant covering the surface, where the image is). Or overprint with a matte, satin or gloss UV-curable laminate.
11) Flat mount it on a substrate. I suspect anodised aluminium would work very well, due to its huge surface area for adhesion. Or you could impregnate the surface wood (or another porous material) with Timeless too, then glue them together using that.
The main difficulty, I suspect, would be temperature control - at low, near-vacuum pressures, there isn't much of a difference between the freezing and boiling temperatures of water, and Timeless is an aqueous solution.
RC papers, baryta papers and other papers containing a non-porous layer probably also wouldn't work very well - what you'd end up with is essentially two layers of stable, flexible, sealant-soaked material sandwiching a still-brittle baryta layer. Although it would probably still be fine for flat mounting.
With regards to the vacuum table, I suspect you would get better results by diluting the Timeless - without dilution, the viscosity would make it difficult to force through the paper. Perhaps Breathing Colour will make a 'Timeless for paper', designed to soak more easily into paper and similar materials, rather than the more-porous canvas. Otherwise, dilution (and/or a surfactant to reduce its surface tension) would probably be the way to go - unlike with vacuum impregnation, you can do this with a vacuum table, since you don't need to worry about the water flash-boiling in the low pressure.
If only the vacuum table weren't 2.5m long (for a 32x96" print) and the vacuum tube at least 2m tall (for a 40x60" rolled print), or if I had a large, empty workshop - then I'd probably try to build one myself. The parts aren't particularly expensive or hard to obtain...