Actually a Hawk that knows how to play against Bison will never jump from far, Bison wins with just a meaty low foward into anything (another low forward-scissors combo, standing short-rh combo). the only place T.Hawk should be jumping is from close range or against a cornered Bison.
Never jump with Jab beyond the corner against Bison, jump with either a well timed fierce, down+fierce or just short which beats any low attack. Also take note that the Dive works wonders here in HD Remix, the match is somewhat reversed to Hawk’s favor now if he gets in with a dive.
Aside note, after switching on hit boxes I noticed that O.Hawk/R.Hawk has a really big box on his jumping strong (not elbow). When I tried it to my shock it was as good as Cammy’s from OG ST if not better priority, not only that but you can also cross-up with it !!