Jumping attacks aren't necessarily going to work depending on how many frames you take to get into tech frames vs. your disadvantage, and of course they're going to just hop right into a counter mid. BKO 2k ducks very, very low too so a lot of the jumping mids might just whiff anyway or get caught (witness Hayabusa f+kkk against lows). I would be interested to see if Bayman's 9p wouldn't just get straight wasted by BKO 2k, honestly. And holding low is stupid risky, as I'm sure you know, and doesn't get you out of anything low block wouldn't anyway. All you're doing is making it worse if she does anything but a low attack. You might have a point if the jumping attack just gets you knocked down and doesn't let her have a reset, though; it might be the least worst option in that case. (I see Rikuto beat me to that one, but maybe there's something to this just getting knocked down idea).
I'll test and see, but right now everything she's got encourages you to have to take a big counter risk one way or the other. At least if sidestep was a possibility you'd only be risking high counter throws and tracking moves. As it is you can block low and beat 2 out of three or block mid and lose 2 out of three, or sidestep and still lose 2 out of three (actually more like 3 out of 4 since I think she has mid tracking moves that will work) plus counter damage. Mid hold obviously loses to 3 out of 4 in this mixup too. She doesn't have to pick low or tracking since she's got both, so sidestep is just fucked. She can almost just mix mid and low and be done with it. I'm not sure if her mid tracking moves are fast enough to work on pseudo force tech but even then you'll probably have to use a p or 6p to beat them and 2k just ducks that. If she didn't get the reset on BKO 2k or on throw I wouldn't be too pissed, but nobody gets both. Even Mila doesn't really get a reset from 6f+p or 66f+p after a force tech.
Brad can pull this happy horseshit in VF5FS and I can assure you it's annoying to deal with, but it doesn't just reset you either. That's the problem.