A pre-08 Ninja 250r doesn’t even require the adjustable pegs for comfort, though it may help open the leg angle some. I found the Ninja 500 to have the same problem as the new 250r. The GS500F fit me real well and used bikes are fairly easy to find around here. I really liked the Ninja 650r and its siblings (EN6r and Versys) however they are newer, more expensive models which means cheap used versions were harder to find. I doubt you would have much trouble with one of the 650 twins as a starter bike if you don’t mind the cost.
I’m 6’2″ 220, so almost your size. I picked up a very nice looking `06 Ninja 250r for cheap to start on. I think the Ninja is a much better fit for a big guy than the most of the other 250 class machines. The only other ones I really liked were the newer dual-sports and supermotos. However they are harder to find on the used market and are usually more expensive.
Craig