Yes, technically your F 150 can tow your TT of 7400 lbs with a hitch weight of 890 = 8290 lbs. But you must also take into consideration your truck's GCWR. You will have to determine this for your specific truck because there are so many variations of the F 150 but with your 3.73 it is about 16,700 lbs.
Your Surveyor has a cargo capacity of 3754 lbs. Your F 150 has a GVWR of approx. 7000 lbs.. If you fully loaded your truck and camper you would exceed your truck's GCWR. 7400+890+3754+7000=19044.
As Davel1971 said, the Surveyor Cadet 321 is too much for an F 150 or you will have to run nearly empty. Even then it would probably be too much.
When looking at the 296 also plug in all of these factors to see how it fits with the GCWR. The GCWR is the more important number, not just the towing capacity.
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