A hydraulic winch would be the way to go, but can be tricky to hook up. We run them on the rear of our cat 287 and tak tl150 on a custom bumper, the cat is intergrated in the hydraulics and you do not have to hook up hoses manually when the winch is used. Our TL150 has hoses that come out the rear door with quick connects, to use the winch we have to hook these hose to the winch and unhook them when done because it uses the same button as our mulcher head does.
An electric winch just doesnt have enough power for these type machines.
I have a ramsey 15000lb winch on the cat and a warn 15000lb on the takeuchi neither one has ever not gotten us unstuck.