Great advice above.
Here's my personal experience with a similar injury
I did a post around 5 months ago about the pain I was getting in my arm which the physio diagnosed mine as bicep tendinitis. I think all the variations of the names from Tennis Elbow, Golfers Elbow, Bicep Tendinitis and so on are all fairly similar in terms of symptoms and have similar methods to heal. This pain forced me to not be able to coach and play. I followed all the advice from Baal's grip change, stretching from Carl, lighter blade, play more relaxed and found they all helped tremendously. My physio also recommended I apply Ice on my arm twice a day which helped greatly to.
The cause of my injury
I guess like most injuries my injury was caused by overuse and over playing. I found over a few months in of rehab that it was my backhand side that bought on the pain. I found the action of playing a backhand really bought on the symptoms whereas I could play as many forehands as I wanted and no pain would come on whatsoever. Since I stopped using my backhand my recovery and pain was a lot less. In training and coaching sessions I used my forehand 90% of the time. The reason why I started getting less and less pain was because i simply stopped aggravating the weakness.
Healing and rest
I think the number one factor for healing this type of overuse, chronic injury is 'rest' and apply all the tactics mentioned above. Taking 3 months off with solid rehab will give you a lot of healing. I think then you want to apply some light strength exercises such as the use of therabands. There are a lot of different exercises on Youtube:
https://www.youtube.com/results?search_query=stretching+with+therabands+tennis+elbow I would let your physio recommened you here as sometimes therbands can bring on your symptoms if not done correctly.
I think overtime you learn what works and what doesn't work for you. But I really do think you sometimes simply need to take rest. Sometimes missing 10 league games in the short term is not as bad as having ongoing pain for the next 3 seasons.
Good luck and see you around.