the OP states it's a 253FBS Puma and the F150 does have the HD tow package.
that said, that model has a HUGE CCC for a trailer that size, 4226lbs.
the fictional "dry" weight is 6910lbs. and the "dry" pin weight is 1026lbs.
so, i'd say that you should be able to tow it easily unless you find a way to load up so mucht that you reach the GVWR.
and Zoe the Wonder Dog(R.I.P.)
'07 Roo 23SS pushing an '07 Chevy Avalanche
Equalizer WDH and Prodigy BC