front axle winch pulley?

Plan is to install a Bullydog 3000# winch on the passenger side frame above the front axle. the line will be run down through a pulley on the 9" axle and back up to the drivers side frame rail. Any idea what strength/size the pulley should be? Definitely needs to be no slop in the pulley side to side so the cable doesnt become pinched. Also any ideas where to get one? I'm thinking tractor supply store.

I was going to try and use my front winch to do it, so I was going to use a pulley used for climbing because they are aluminum and would be better for synthetc rope, and you can get them small and fat to be able to handle 3/8 rope. All the ones we have at our tractor parts store that can handle 3/8 are also big pulleys. worth a try to look at the tractor supply it would probably be cheaper