Maybe you could put Tack it over on a block? They also sell a sticky sheet for that purpose ... but I haven't tried it and you'd want to look for reviews I seem to remember some did not like it,.. let me go look to see if I can find what it is called. Ahh, found it in my mess of craft stuff, It is Tack in Peel by Tsukineko. Maybe someone here has tried it?
I had the same dilema ... If the sticky is on the block, not on the stamps, how do you store the stamps?
I put poster tape, or removable double stick tape on my binder sheet, behind the stamp. I'm not completely satisfied with my stamp storage yet so don't do it because I said so!