If your hand is THAT big, then no. Nothing especially recommended.
I take size 10 gloves, which usually equates to XXXL in most retail gloves and I still have three digits sliding along the mousepad. I've not found a single one that keeps all my fingers off the pad.
About the biggest mouse I have found is the old 16-button World Of Warcraft: Cataclysm mouse. It was comfy and I loved having loads of buttons, but it was also quite light and felt a little flimsy... plus it was WoW merchandise and I'm not 12!
Most of the bigger ones will be gaming mice, which means they will be pretty pricey.
My two personal faves are the Logitech G700S (£90-ish) and the Coolermaster Storm Inferno (£25-40, usually). Roccat do the Kone which is pretty beefy, and the Kova which is low-profile but surprisingly comfortable. They also have the Tyon coming out soon, which I was thinking of trying.
Beyond that, it's mostly a case of going up your local well-known PC retailer(s) shops and trying out whatever they have on display, or altering your grip to prevent digit-drag.