How can sharp triceps pain from exercise be managed?

Hello doctor,

I participate in resistance training activities and one exercise, in particular, has been giving me problems. The exercise in question is the dumbbell bench press. It causes a sharp pain in the triceps and sometimes across the brachioradialis. There is no pain in any other exercises that extend the elbow with resistance. I am also not experiencing golfers elbow or tennis elbow symptoms. I know that one of the best things I can do is rest the muscle. My question is, can I just avoid the specific exercise that is causing me pain and choose ones that do not? Or does rest mean completely forgoing every elbow extension exercise? I am just taking psychoactive medication.