I have never had an issue with cooling due to the winch. They are not all that "big" just configured differently than the cheap winches. They are bigger because they have actual gears that run in gear oil inside. No planetary gears to fail. There is a reason the design has been around since 1974, and the predecessor (basically an older version lacking the automatic brake) the Belleview winch was made from 1959-1973. The old adage of "if it works, don't fix it" holds true.
Beat it to fit, paint it to match!
Wheel, Wrench, Repeat.