Yup, insurance company should not question your shop choice. You can
bring it to Toyota if you like if its your choice, My insurance
company gave me the listing in my area and I visited each shop to see
the work they have performed and talk with the shop supervisor. They
were very helpful and actually showed me pictures of cars in their
shop before the work was done. And if your not fully satisfied you can
go after your insurance so you can have it redone for no addt'l cost.
It just so happend that the shop I chose was certified by AAA and ASE.
Well both shops I visted were good and I end up choosing the shop with
the cute receptionist. : )