Atv's and utv's use thinner tires up front. The thinner tires are better for steering. I run Polaris Scrambler tires and wheels on my cart, they've never let me down. The tires are Carlisle 489's, stock on most Polaris quads. Good all around tires, very good in muddy conditions.
Deep mud? Good luck. Most 2 wheel drive vehicles will get stuck in the deep stuff. If you get high centered, any vehicle will get stuck. That's why I have a winch.