@mulveling I think the problem is more the last thing you mention, where the woofers are sort of flapping in a pattern and it’s audible. What do you mean by rack bracing?
If you have your turntable atop a tower-style rack (like many of us), freestanding, then it’s actually free to sway when energized - which can easily cause or contribute to that woofer flapping. If you think about it, your turntable is literally cantilevered up into space - a really bad spot for it to be in. The taller the tower, the worse it gets. Adding mass up top can just make the problem WORSE, actually.
To brace the rack can be as simple as backing it firmly against a wall, with a little foam or rubber pad wedged in between there to interface. You’re basically clamping it between wall & floor, and making it stop acting as a cantilever. This can help your flapping problem (which can be deadly to woofers - you seriously don’t want this), but may not address your audible rumble / hum feedbacks - for that you’d want to additionally put your turntable & arm pod atop squishy feet or springs.
If you have concrete flooring, then your flapping problem possibly has another cause. But usually life with such floors is "easy mode" for vinyl playback.
If you struggle to find any mitigating solutions, you can always get a KAB rumble filter - it’s pretty good, and VERY effective, but I found it to not be quite "100% audibly transparent", though it is advertised as such. And it's aways better to address the actual mechanical & structural problems, rather than just slapping an electronic filter on as band-aid.