When I did my kitchen over, I questioned whether to put an 8" or 12"
overhang on my peninsula. I went with 12" and I'm glad I did.
Unfortunately in your case your going to have to bite the bullet and
ante up for a new slab of granite. Do not do a patch job like you
described, it will not look nice. Theres a right way to do things and
a wrong way.
When you put in a new piece of granite, you'll forget about the $900
and enjoy the kitchen.

Or you can live with the 9" overhang.