I had the same one that needed recored. The local rad shop in Richmond had a huge pile of squirreled away cores for a variety of passenger cars and trucks. One was close enough in size. Wish I could remember the model of car it was for.
At any rate, the price you were quoted wasn't bad, but I benefitted from finding a really old guy who never threw anything away. Sometimes the grungy shops hold treasures. 90 bucks since my tanks and tubes were good.
Good luck!
Jim