Seems like since you weren't even in the truck it should be a pretty straight forward process that your insurance company should handle. I'm sure you have full coverage since its a new truck. They should pay for the repairs, minus your deductible, and go after the city for reimbursement of their expenses. They should eventually refund your deductible. The whole process from crash to getting my truck back took me about a month.
Sascha Steinway TLCA # 20217
1977 FJ40 "Ripper" (because it shreds!) (What is a "shread"...Steve Crase)
1988 FJ62 "Dino" OME, my next project
2000 4 Runner, my daughter's truck, thanks Dan!
2013 F-150 "Black Ops"