I have a 02 F250 PSD and you'll have plenty of power. The issue is payload on the rear axle and what the sticker on the door says. Hopefully your F250 has the camper package which gives you F350 rear sprins (an extra helper spring) and sway bars front and rear. Not sure why 5er's run so much more tongue/pin weight than travel trailers... well yes I do know as they can put smaller tires and axles under the unit. I would check what the axles and tires ratings are on the unit and if heavy enough you can take weight off the pin by adding a tool box on the back and putting heavy things back there so you have more carrying capacity. It's too late to go weigh as once your check clears you are on your own.
If the axles and tires are marginal then there's a good chance the rest of the unit is marginal. My guess is you will find it has 5K axles and they expect you to carry 4500 lbs on the back of your truck. Find a better unit or a bigger truck.
