I strongly believe that you should repair your car. And you could probably do it for the money the insurance is giving you. In my opinion, your car was deemed totalled because it needs welding to be repaired. That's how it works up here in Ontario, Canada. From the pictures, you may need to straighten or replace the radiator support and replace the bumper assembly. I did a search on car-part.com and found a few silver bumper assemblies in the US starting at $200. I do not know the exent of any mechanical damage under the hood, but if the hood and fenders survived, and the car still works 100%, I can only assume it's minimal.
Find yourself a reputable body shop and get a *real*, honest quote to repair the car. I once purchased an insurance write-off and upon close inspection of the repair estimate, found that they had triple-dipped. It was also a front-end damaged vehicle. They had quoted a bumper cover, then a bumper assembly (which includes the cover), and then a front clip (which includes the bumper assembly, which includes the bumper cover). I did the repair for a third of the cost of the estimate.
You may want to repair a devil-you-know than replace it with one you don't. Your car only has 90K with quite a few expensive new parts and was working fine until your daughter's accident (I hope she's okay).
That's my $0.02.