Here's a question.

So, I'm working on this Doctor/Master AU, and I'm having this issue with names. The Master is easy, because he uses all the aliases ever, so I just get to play around with those and figure out one that fits. The Doctor, though, is a huge pain. John Smith is the obvious choice, which is why I'm kind of shying away from it. I tried looking at names that are associated with doctors, but I'm not happy with them. Luke is already a DW character name, and Asa and Caduceus are both a bit out there (though I do know guys named Asa). Mostly I'm just worried that picking a name will make the character seem less like the Doctor. What do you guys think? Should I just pick a name that I like and go from there? Or should I forget it and use John Smith, on the basis that everyone will know who I'm talking about?