I can tell you most doctors will generally tell you to avoid caffeine. However with the caveat that experiences with stimulants and caffeine will vary from person to person. For instance, much like tourself, enjoy the morning cup-o-joe after I wake up. I have not tried to push it any farther than a single cups worth (10oz out of a kuereg).
My advice, take it slow one day during the day and take a sip every so often and gauge your response to the stimulants interacting with the coffee. Take a sip, wait about 10 minutes, take another. As long as you SLOWLY drink your coffee you should be alright. I asked my doc too and she told me the above advice.