That Crazy Squirrel
I'm too LAZY to Choose a ... oh **** it...
Find a nice switch to run a high amp solenoid
Probably not a good idea, and I'll explain why:
You'd have to wire it so the relay/solenoid is only energized when the winch is going to be used, but the current draw of the winch being used will probably cause enough voltage drop to make the relay drop out. Net result? Chattering and arcing which will quickly destroy the relay.
Now, if it's a dual battery system, and the two batteries are isolated, then the relay can go on one and the winch on the other.