I have made several front/rear winch bumpers over the years(I was building "Ranchhand" style front and rear bumpers many years before there WAS such a company).
Usually when you get stuck, you get stuck while going forward and it's best to retreat and live to fight another day(take if from a guy that spent YEARS in the WY/MT back country contracting for the BLM and others in VERY remote locations and extreme weather conditions).....so a rear mounted winch always made more sense to me(I usually have one on both ends,but if I only have one, it's on the rear),plus I buy and sell a lot of old trucks/tractors and it's the berries to be able load a dead rig onto your gooseneck trailer too.
I like flatbeds (99% of my trucks throughout the years have had steel flatbeds on them if I kept them very long)and they are MUCH better(or easier) for mounting a rear winch ,but if your bed is stock, you can still fab mounts up above your reese style hitch,put a roller fairlead on it and go to town......you can get an old spring license plate mount off of any old GM car(covered the filler neck),tack it on your rear bumper in front of the fairlead or run a headache rack and mount your rear tag there.Make sure and brace your stock bumper up if you use it to mount the fairlead on.
You are only limited by your imagination.
USE GOOD WIRE AND DO NOT SCRIMP ON RELAYS OR ANYTHING ELECTRICAL IN THIS SETUP or you will be sorely disappointed and may end up on the hoof and walking out anyway.