Don’t outright discount a Ninja 250 before you sit on one, they are surprisingly roomy (says someone 6′ even). Buell Blast with full height seat as well (if you want the sport-standard type bike as opposed to cruiser).
Any 250cc Dual-sport will fit you.
Height is your only issue; I’m heavier than you (not by much) and even a :lowly” Rebel 250 will get me up to speed faster than traffic.
“The two seconds between ‘Oh S**!’ and the crash isn’t a lot of practice time.”