I have the same problem that you described. before I switched to the Big Shot, I thought of using a golf glove under the tab on my string hand,as I had good luck using an old Damascus glove in conjunction with the tab.
I like that Big Shot, but it seems pretty bulky after using the Damascus glove and then a tab. I really like the smooth release due to the material on the tips, but you may run out of room if you take a very deep hook.
If you really want to stick with a tab, the cordovan ones with a finger spacer work well.