Well, the last 6 inches or so should be static, so feather the lam out just short of that 6 inch mark. You don't want the lam to have to bend. The bend will end where the lam begins (close). So there-in lies the answer to your question. 1 to 2 inches seems to short. I would make the lam 4 -5 inches long, so the flattened area on the belly should be 4 to 5 inches as well. Something to consider. If the limb is too thick where the lam begins (handle side) you will have hell with it. Get the thickness close to where you want it before you glue up. You can always scrape some of the lam and glue off if you need, but get it close tiller wise.
I think any good glue will work. Your not asking the joint to bend, but use good gluing technique. TB, epoxy, hide glue, knox gelatin, carpenters glue. Any of these should work if applied properly.