I would suspect a flaw in your procedure/execution. I have swung the club with my right arm for years and no pain from the swinging procedure I learned from Tom Tomasello. I swing daily with weighted clubs per Harvey Penick's recommendation too.
As Tom Tomasello has said, all big hitters use their right arm.
DG
Yes, but so does everyone else. There are three ways - Swing or drive the right forearm through impact, or use the Right Arm Swing with pitch elbow and risk the "twinge" that HB points out in 7-19.