The insurance company is your friend.....until you actually have a claim.
Have a mechanic (not a body & fender guy) check it over thoroughly and write a list of the mechanical stuff that is bad on the truck.
The adjustors is there for one thing: to get their client/employer off the hook as cheaply as possible. Have a witness there. Ideally, I would put them off until you can get a solid estimate from the dealer. What they WANT to do is press you into taking their lowball first offer.
When you do have to deal with an adjustor, ask if they have an adjustor's license, and if so, have them sho you evidence of that (it may be printed on their business card). That may give them the idea that they better deal with you fairly.
On a valuable vehicle, if it looks like they they can save some dough by ignoring or not probing for mechanical problems, they will.
Example: When my truck had some damage to the front, the guy didn't even look under the hood.
Guess what? Even though it wasn't gushing coolant, the radiator was screwed up, as I discovered later. The asshole didn't even look under the hood.
On the other hand, if they think they can screw you better on ACV ('actual' cash value), they will pound ther numbers high enough to go over that. It's a funny business.
I would insist on an estimate from a dealer's body shop, too. (Give them the mechanic's list & estimate)
My bet is the adjustor is going to tell you that you have to accept aftermarket parts, like the replica bumpers made overseas out of shit metal and half as thick. This is when people start to get agitated.
It would be good to see what a lawyer says about that, but I believe in some states, insurance companies have lost in court over that.
The dealer will estimate repairs using OEM parts, but you better specify so. If it's not driveable, the dealer may even offer to tow it there for estimate/repairs or have someone come out and look at it.
Think about that. Do you want your wife driving around depending on the quality of some suspension part or front bumper made by someone in Seoul or worse, Peking? (fu** the PC spelling!) That OEM front bumper may mean her life someday.
Be sure and mention how aftermarket parts diminish the resale value of your vehicle and how that's unacceptable to you.
Meanwhile, make sure and take advantage of the rental coverage if you have it, and make sure you tell the insurance company about it. You want them to know their register is ringing every day.
Make sure they paint all the front panels, or you will be sorry down the road when the new paint and the old fade differently - ask the body people about a guarantee on the match.
Now then, your question about trading it in or selling it. Just ask yourself whether you would buy it as a used vehicle knowing the damage it had sustained.
In spite of the repairs, I think you will have problems down the road.