It's got the V8, with the towing additions. Seems to pull it well. The 272BH is only 5600# empty weight.
We are looking for the diesel Super Duty, in the near future, though. Covid has changed our RV outlook and we are going to trade up to a 5th wheel (again) by the end of the year or beginning of next year.
Just FYI!
For future purchases the dry RV weight & the truck max tow rating are useless numbers to calculate for towability.
The RV only weighed that dry weight the day it rolled out of the factory, will never ever weigh that again, then the dealer added battery/batteries, propane & hopefully tested all the plumbing so it now has a few gallons of water in it.
The trucks posted payload in most cases will be exceeded long before you will ever reach the max tow rating.
ALWAYS use the hitch/pin weight percentages of the GVWR of the RV & the door sticker payload number from a specific truck. DO NOT use posted weights in truck/RV brochures, they are typically always off by 100s of pounds.
Hitch % for a TT is 10-15% of the GVWR shown on the RV sticker on the drivers side front corner. For 5th wheel figure 20-25% of the GVWR for a pin weight.
And NEVER EVER take a truck/RV salesmans word about towability of any truck/RV, they are there to sell you something ONLY most don't know or care if you can tow it or not, do your own homework.
All this said, I'm betting your current F150 is overloaded with your current RV. At 5600 dry & 30'+ long it's GVWR is probably 7000-8000 which means at least 800lbs of hitch weight + WDH of minimum 100 lbs + all people/pets + anything you've add to the truck that didn't come from the factory all are subtracted from that trucks payload.
The only sure way to know is load up as if you're headed out for the weekend & stop at a Cat scale to weigh it.
A bit if advice from experience, if/when upgrading to a 5th wheel & more truck don't even look at 250/2500s go directly to diesel 350/3500s truck, not much difference in price, ride or fuel mileage but a big difference in payloads.