Welcome, flyingframers.
First, there are a few ground rules about preservation framing. For example, anything that happens to change the original condition of a valuable item reduces its value. So, light damage such as fading, sharp creases, cuts, soiling, adhesive residue, or other changes are considered to be damage.
"Value" refers to personal or sentimental value as well as monetary value. Most of the valuables we frame are family heirlooms that would have little monetary value if sold. The thing is, their owners consider them priceless, so they deserve the best framing we can provide.
Any kind of adhesive applied to a fabric would soak or migrate into the weave and its fibers, and that is why adhesives are generally unacceptable for mounting valuable textiles. Regardless of an adhesive's chemistry, its residue probably would require removal by conservation treatment, and some of it might have to remain in the textile forever.
As adhesives go, anything water-soluble would be better than anything solvent-based, but I agree with Rick; there is no such thing as an "Archival spray adhesive".
For collectible or valuable textiles, I suggest using Stabiltex (polyester) or Crepeline (French silk organdy) in a fine mesh overlay mount. If you search this forum for terms such as "fine mesh overlay", you should be able to find plenty of instructions about the process.
Try these:
http://www.thegrumble.com/showthread.php?t=33191&highlight=fine+mesh+overlay
http://www.thegrumble.com/showthread.php?t=33089&highlight=fine+mesh+overlay
http://www.thegrumble.com/showthread.php?t=32022&highlight=fine+mesh+overlay
http://www.thegrumble.com/showthread.php?t=22737&highlight=fine+mesh+overlay