What mouse are you currently using? which ones have you used?
Not many mice are designed specifically with a claw grip in mind, I would thus tend to recommend the Razer Lachesis.
The older 4000DPI model is currently being replaced by an updated 5600DPI version, so its easy to find the old model for less although both easily fit your budget.
I'm sure there are other brands/models out there that could work but the Lachesis is the only one I know of that was specifically designed to cater to the stereotypical claw grip.