I think you could definitely make the claim that certain Doctors were fairly close to asexual, but definitely not all of him. The only ones I'd really consider that a huge possibility with are Two, possibly Five, and Seven. One definitely got a leg over on someone (Thank God Looming isn't canon), Three could be flirtatious, but was generally pretty fatherly, Four was definitely bumping uglies with Romana, Six had his (rare) moments, Eight was... Eight. And then you get everyone that isn't the War Doctor.
Matt Smith says that he thinks the Eleventh Doctor was asexual and never did more than kiss, but I think Moffat disagrees.
That said... It depends on which Doctor you're playing! One thing you could do and have a lot of fun with is more of a focus on his psychic abilities. Some of the older Doctors, particularly Four and Five, tended to lean on those fairly heavily at times. Four in particular. No need for psychic paper when you can just look someone in the eyes and convince them of whatever you wanted.
You could also go with a lessened reliance on the sonic screwdriver. Three used it a lot, but Four, Six, and Seven rarely used theirs, and Five never bothered at all.
What could also be fun is focusing on the fact that the earlier Doctors rely a lot less on their reputation. You couldn't really have one of them go "And I have no plan! Isn't that the scariest thing of all?", especially when some of them were so fond of making plans and manipulating people. Oh, sure, they're still insanely arrogant, but they're used to "I'm the Doctor" meaning less than "I'm a Time Lord."
Re: Classic Doctors around NuWho players
Matt Smith says that he thinks the Eleventh Doctor was asexual and never did more than kiss, but I think Moffat disagrees.
That said... It depends on which Doctor you're playing! One thing you could do and have a lot of fun with is more of a focus on his psychic abilities. Some of the older Doctors, particularly Four and Five, tended to lean on those fairly heavily at times. Four in particular. No need for psychic paper when you can just look someone in the eyes and convince them of whatever you wanted.
You could also go with a lessened reliance on the sonic screwdriver. Three used it a lot, but Four, Six, and Seven rarely used theirs, and Five never bothered at all.
What could also be fun is focusing on the fact that the earlier Doctors rely a lot less on their reputation. You couldn't really have one of them go "And I have no plan! Isn't that the scariest thing of all?", especially when some of them were so fond of making plans and manipulating people. Oh, sure, they're still insanely arrogant, but they're used to "I'm the Doctor" meaning less than "I'm a Time Lord."