Various CATSEND and CATFUR numbers can be found in Apple II cracktros, however these are not BBS numbers.

Novation also introduced an internal direct-connect modem, the Apple-CAT II, which plugged into an expansion slot in an Apple II computer.
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However, software was used to work around this limitation as well. File transfer programs are written specifically for the Apple-CAT II's 202 mode, such as Catsend and the later CatFur, periodically paused and reversed transmission direction, so the receiving computer could acknowledge receipt of a stream of data, and, in the case of CatFur, could add a short chat message to the sender in the middle of the one-way file transfer. Many bulletin board systems (BBSs) running CatSend and then CatFur were set up to transfer warez.
https://en.wikipedia.org/wiki/Novation_CAT

Discovered CATSEND numbers,

1984: 415-522-12XX
1984: 617-863-06XX