are you saying that you use the foam roller to apply the glue to the gator board, and then ensure contact by rolling the print down with the cardboard tube? Do you think that a full-width tube works better than a J-roller? May I ask what kind of glue you use?
The cardboard tube is mainly to keep the print tensioned and flat as it is rolled out. Press down and tug as the print is rolling. For already coated canvas, I run my cotton-gloved hand over the print to locate any bubbles, then work them out mainly with hand pressure, but sometimes with pin pricks and a j-roller. Not a real big fan of the j-rollers, I think hand pressure is as good with canvas. Of course for paper prints you need a j-roller, with possibly a temporary cover sheet for really delicate media surfaces. If the rollout from the tube is done well and on a flat surface, there won't be any bubbles. You must also not use too much glue, which can create bubbles. 0.003 ounces per square inch is about right, assuming your roller is already saturated. For prints wider than 24", you need to have a very flat table surface, and for anything wider than 36" or longer than about 8 feet you really need two like-minded people working together.
I use both Lamin-All and Miracle Muck, $40 and $20 per gallon. pH neutral Lamin-All is maybe better for paper prints as it doesn't seem to be as thick as Muck. Both of those can be used both as a wet glue and a heat activated glue. I always wet glue, but you can also put down a coat of glue on the backing, let it dry, then heat press the print onto the dried glue like dry mounting. Both glues are also theoretically reversible by pressing for a few minutes at about 180F, then peeling off the print while still hot. I have done this a few times with canvas and the print emerges in good shape. However I would not care to remount the print with anything except glue due to the very small residue of dried glue that remains on the print after the peel off, it's not strictly speaking an archival reversal.
When rolling glue don't use those stupid 2 and 3 inch rollers. Use 8" wide, 3/16" or 1/4" thick foam rollers. You gotta get the glue down fast. Sherwinn Williams stores have some cheap, black foam, 1/4" rollers that are perfect, but you have to ask for them.
PS, when you're new to this you need to do destructive testing on your first few test prints. If you can peel off the canvas without taking a lot of Gator laminate with it, you probably are doing something wrong such as not using enough glue or enough pat down.
Lamin-All
Miracle Muck