The 16" LT E isn't a good choice at all. Not enough load carrying capacity.
According to Keystone website the 330 RE has a 11700 dry wight and a approx 14330 GVWR.
Your OEM tires were ST235/80-16 E at 3500 lb capacity.
The BFG Commercial LT235/85-16 E has only 3042 lbs capacity.
I see many folks replacing their 16" ST E china bombs with the Goodyear G614 LT235/85-16 G and the Sailun S637 LT235/85-16 G both at 3750 lb capacity/110 psi.
The Sailun is a commercial grade all steel ply carcass tire and is a excellent move.
Some folks with 14xxx + and larger trailers also upgrade to 17.5" trailer wheels and commercial grade LT tires.