Here are some photos of the first test load I did with my tractor. As you can see, the relatively short back blade is almost hanging off the trailer, my rotary cutter definitely does.

I LOVE my tilting deck trailer, but they are noticeably more expensive (If you don't get a killer deal at an auction like I did). I have to drive up a 4-5 degree slope as opposed to 15-20 degree ramps. As the pivot for the deck is perfectly between the axles I just have to drive forward until the deck tilts forward, then go forward a couple more inches to get my 10-15% & I have a perfect balance without weighing tongue weight.
Trailers pretty much come with 3.5 or 7k lbs rated axles. My 14k trailer rides like a tank behind my Tacoma, better behind the F250. Figure 2k lbs for the trailer itself would leave you with about 5k for payload. My
L3200 with loaded R4s & a loader clocks in at a little over 3.5k lbs, so you should be fine for tractor + a couple impliments on a lighter cheaper 7k lbs rated trailer.
Things to wory about on your tow vehicle in order of priority:
Braking
Suspension
Power
Make sure you can stop things (brake controller in the truck & working brakes on both trailer axles).
Make sure the truck is heavy enough & has enough suspension to keep things under control.
Then finally worry if you can pull the thing at appropriate speed only if the other factors are met.
My Tacoma & the setup in the photo meets all those requirements, but is at the limit where I'm comfortable & I don't like beating up my equipment pushing it to the limit (Hence the beater F250). Brakes & brake controller worked, but they were working hard to stop things, back end of the Tacoma was dragging a bit & I had to flog the engine to get up to speed. The 6.5k lbs rating is pretty much spot on for my Tacoma.
A F150 is a beefier truck than my Taco, so you should be fine. I only have the V8 in the 2005 F250 too & it does fine here in Colorado where we have no oxygen. It's not a speed demon, but it gets the job done.
Somebody else mentioned brakes on 1 axle. Personally I'd never do this unless it was a single axle trailer (which is not appropriate for a tractor). Brakes on both axles are required here in Colorado & most states I believe. I'm a firm believer that stopping is MUCH more important than going.