The shop we use is top notch, but keep in mind that they no longer work through insurance- it was too much of a hassle for them and they have a big client list on an all-cash basis for restoration projects (including me, Spencer and
@mskrotzki, among others). The good news is they know the NSX quite well at this point and you can trust them to do the job right.
As for hoods, there are plenty of clean used hoods out there due to many owners going with carbon fiber. You should call Science of Speed and ATR Parts. They keep a decent stock of used NSX body parts. They may have a hood on hand. Going rate these days is about $500 for a clean one, plus shipping. New ones may still be available from Honda Japan for significantly more money, but Acura will say they are discontinued.
It also looks like the upper bumper cover may have been damaged, but it's hard to tell from the picture. It may be tougher to source a replacement part for that- the pop-up bumpers may be discontinued. Not sure.
Finally, keep in mind that because your NSX is R-77 Formula Red, it's going to be pretty tough to get a perfect paint match to the rest of the car, which is faded from the new paint of 30 years ago. More of the car may need to be painted and blended to get an acceptable outcome. This is because the R-77 paint has a magenta-tinted mid coat.
It may be advisable to source/price everything out, talk to Mike at the paint shop to get an idea of what needs to be done and then have Progressive send you a check. My insurance company does that, but not all do.