At your height, you’ll be fine on just about anything. I’m a little bigger than you are and have spent a lot of time on things like old Ducati 900SS’s and Ducati Monsters. While dual sports are little top heavy, I don’t you’ll have any problems at your size. See if you can find a Kawasaki KLR. They are a lot of fun. A little buzzy on the freeway though.
I really enjoy the smaller motards and dual sports, but in the real/traffic/freeway, then can actually be a little dangerous as they just can’t go with a big person on them.
As “A” pointed out, there are some 600’s out there that I think you’d be fine on. Look for the older air cooled 600’s like the bandit or the katana.