[LED]

You didn't say it but it seems possible your trigger finger is also thick. Your joint mobility may be limited. Result - your finger slides on the trigger, unless you wrap your distal joint around it.

I agree with gaerek, only you can decide what works best. My instructors and the expert writers leave it up to the shooter, as long as a consistent smooth trigger pull is achieved.

My hand isn't large but proportionally is about like yours. I order gloves from a company that caters to gorilla hands. More expensive but it pays not to have dangling glove finger tips.

Edit: addressing dayman