A good shrink can prescribe--and better still, will know the pros and cons
of various psych meds regarding cardiac issues. I have been there, and tried no fewer than five, count 'em, five, different SSRIs. Each one has had quite different effects.
For example, you note that you have been prescribed Prozac. It is a good sign, really, that you feel a little sleepy on this med, because it means that it is somewhat calming for you.