Actually, whackin' it will strengthen your muscle so it won't hurt as much. But in all seriousness, I have the same problem and I bat righty as well, but it's always in my right arm where it hurts. It does this when I throw for a long time as well. Best thing to do in my experience is to stretch thoroughly before you do anything and drink plenty of water throughout the day. And then if it still hurts, afterwards, ice it down. (Yesterday I didn't have any ice, so i kept a cold bottle of vodka on my elbow and the pain went away... Or maybe it was because I was also drinking the vodka...) Anyway, you can't forget that softball no matter how recreational it is, it is still a physical sport and you are an athlete and should treat your body as such. I lift 15 lbs barbells every day just to keep the firmness in my muscles. I could lift much more weight, but 15 lbs for each arm is plenty if you do enough reps.