Not sure how much room you have, but you might be able to mount it to the bull bar next to the winch. I've also seen plates mounted on the front of the bumper for road use and then removed when needing to use the winch.
Google "fairlead license plate bracket". There are several makers.
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I haven't run a front plate on my vehicles for years. Cops will only pull you over for it if they are really bored or looking for a reason to pull you over. I keep it under my front seat and when they try to write the ticket, I attach it to my light bar with zip ties and get the fix it ticket signed off.