you'll look a bit funny, that's for certain.
it's enough power to move you around, but not by much. long highway rides can be taxing for a 250.
I would say a ninja 500 or even the ninja 650 is a better fit for you. There are lots of guys 200 lbs + on www.ex-500.com
some as tall as 6'3" - but they do start to look a bit ogre-ish on the bike as well.
unless you really haev zero riding experience, and have never driven a manual trans car, i would go with a 500 or 650 twin.