So Coban/vet wrap should work then - it is stretchy, thin, and sticks to itself, but is not actually sticky to the touch. I usually work with it in 2 inch thick rolls, but I think I have seen it in thinner rolls too.
I would probably try a 2 part resin. But then you would need to seal the picture to prevent the resin from seeping into the paper fibers, which turns the paper translucent (think of like when paper gets oil on it). Simply sealing it in clear tape will do. I also had recent success with clear gel medium as a glue and seal as well, for paper goods under resin.
What about a glue runner - like what they use for card making or paper crafting. You can get it in thin 1/4" lines. If you are adhering elements to pages/cards, I would also go with permanent glue dots - you can get them in very small sizes.