I had this exact thing happen in North Carolina. 2 summers ago, driving back from Myrtle Beach, was rear-ended. $900 in damages. That driver had Allstate, and they completely tried to fuck me over. Luckily I had a police report, and after working with the NCSP and kept badgering with Allstate, I eventually got the check in my mailbox. Accident was in July, finally got the check in the wintertime.
I got 2 estimates, told them where I wanted to have the repair work done by, they went off that estimate.
Just be prepared to fight for the money they owe you, because they will do their best to weasel out having to pay, but if you stay at it, they will give in and pay. I think their game is to prolong the payout long enough so that some people will just give up.