The insurance company will likely want a written estimate for a replacement bike similar to yours. Then they'll negotiate from there.
(Since my bike was custom built, they replaced it with a new one.)
In the case of my collision, they settled the 'property damage' portion rather quickly -- and I think they want you to be happy instead of angry, to a point. The 'medical' portion can take a lot longer to sort out -- in CA, there is a two year window to settle or file a lawsuit.