Glad it is not torn!!
You probably need some serious PT if you are that inflamed and cortisone didn't help. Also, another steroid shot would probably be a good idea.
biceps runs right through your rotator cuff, gets angry just like the bursa/tendons.
PT will use cross friction for angry tissue and resistance to eccentrically strengthen cuff.
If another shot and PT doesn't work then maybe you will need surgery anyways (if you have Spurs or other mechanical causes of impingement). But coming back from a decompression is easier than coming back from RC repair.