A good dealer will know what damage has been done by inspecting it. The dealer will meet with the adjuster to agree to a general ballpark price of repair. The deal should still remain open at that time.
As the dealer gets into the job, if anything unseen is discovered an adjustment should be made . Most reputable insurance are going to work with you and your dealer for a satisfactory solution.
tires:
ST tires like Maxxix or the Goodyear Endurance are good choices that I would be comfortable with.
LT tires might not be available in the correct wheel diameter size as your OEM wheel.
If you decide to go that route, then you have to consider the room you will have under your TT to accommodate a larger wheel plus the added expense.
The other thing to consider is possibly a harder ride from an LT tire. You might then have to add shocks if you don't already have them otherwise you might feel that difference thru your hitch to the seat of your TV. (tow veh.) as well as shake things up inside your TT.
LT tires tend to work best of heavier TT's and fivers.
At the end of the day, weigh your rig to make sure you do not overload the TT axles and tires. Heat can be your enemy and overloading things can cause more friction and heat on tires. Keep them properly inflated, continually inspected and not overloaded , your tires should perform well for you whether ST or LT.