I'm halfway through a 12 week recovery/therapy from another rotator cuff repair. My BEST friend is ice. After every therapy session, and many times in between, I've got ice strapped around the shoulder. It's the only anti-inflammatory I know of without side-effects. I've had my bowling shoulder reconstructed (bicep & rotator cuff), and now my left side repaired, as well as an ACL (knee) tear, among other breaks, strains, etc. Every time ice has been my friend.
As we use muscles there is some internal swelling that takes place, and ice helps take care of that. It also has a numbing/soothing effect for me. I watch athletes, particularly NBA players, that, as soon as they're done for the game, both knees have ice packs on them. It's preventative maintenance.
Having said that, as we age (especially) we need to stretch and warm up our muscles prior to bowling. Too many guys develop tendonitis and other injuries simply because they didn't warm up. Warm muscles are way less likely to get injured than cold ones. Take it from a 59 year old man with 70 year old joints...