Is the RCK60B-22BX the only the 60" mower deck that will work with a BX2200. After 20+ years, the mower gear box died. For the cost to rebuild or replace the gear box, I have found some used mower decks for similar costs.
Unless you get the same model deck, there are differences in the lift attach points and gauge wheel mounting. I would fix your deck, then at least you know what you have.