3350 rawr? Lol
Chewy dog, seriously, a new F150 will haul that camper , especially with the mods you plan just fine and very safely.
There are about a million half ton trucks that ride around with that weight in them day in day out. There is no issue here.
If you were talking a bigger camper then yes you’d be overloaded.
You’ve come to perhaps the largest group of ninnies (only some folks here) when it comes to towing and hauling.
You will not be breaking laws, you will not go to jail, you won’t even run over a group of defenseless school children while careening our of control with a broken umm, may have to ask the weight cops here what will break the first, because nothing will break.
Have fun camping and enjoy!