In all absolute honesty, no. I would not. Never. Ever.
I realise what I'm about to say is probably a ban-able offense in the eyes of a few, but meh XD
I don't like Doctor Who, in any shape or form. Nor do I like David Tennant. His eyes completely freak me out and so do his mannerisms. Not even for money.
And by never, I mean even if it was hypothetical, no strings attached, no consequence sex, I'd still say no to him.
And mean it. He makes my skin crawl, and I have standards. That is all I have to say on the matter XD
(If for some strange reason David Tennant happens to be on 'Charms and reads this... no offense is intended)