There is another option which is to buy "clear acetate rolls" in the more or less standard widths like 25 and 50 inches, lay your prints face down on a sheet then wrap them up. Tape the backs together. Put an Avery label near one end saying "Please remove the print by cutting open this end with a scissors. Contact with the tape may damage the print."
I used to slice the sides of regular large bags to get big pano-ratio sheets, up to the point where I realized selling bare prints was hurting my sales of much more lucrative framed pieces.
When I look at shrink wrapped art in bins I notice that there are often areas around the edge of the package where the shrink has opened up in typically 2" wide circular voids. Probably from the shrink being too tight. I also notice a lot more scrapes and minor tears on shrink than I see on the more substantial bags. Although there are issues with folded bags, at least the surface shop-wears much slower than shrink and offers a little more protection to the print. And doggone it, those goofy folded up bags just seem more artsy!
And just slice those booby-trap tacky flaps off with a utility knife, or buy the bags without the adhesive!
Also, when wrapping bags around the back, the edges of the last fold should point UP which prevents the fold from hanging up on the edges of the print just behind it when the print is put back in the bin. Pulling the bag out of the bin is easy, putting it back in is the trick.