I would pick Sheldon because he is eccentric and has a ton of superhero shirts.
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Sheldon's sister, perhaps. She seems alright. If I need to choose from the main cast, then I suppose Bernadette is who I'd choose, if I didn't know that she was an extremely angry and vengeful person with access to weaponized smallpox. I sure wouldn't want to date Penny. She's proving to be increasingly morally bankrupt. Amy is kinda nice, but way too screwed up for my tastes. Raj's new girlfriend (forget her name) she sucks pretty hard.
Pretty much all women on the show are a lousy choice. The men are pretty bad too. Though Leonard, and Raj are probably in the lead. Stewart was alright, and he's still a nice guy, but he's becoming an increasingly pathetic sadsack. Zack's a pretty great guy, for the most part, he's just an incredible idiot.
But yeah, this show is not a great place to look though, if you really think about it. Especially since all the characters (short of Howard Wolowitz, who's stayed amazingly consistent, since episode one, and even experienced some degree of genuine growth) have long since passed the flanderization point of the series.7