Thank you some_dude!
I tried it today. The trap bar squats you suggested didn't really work out for me, BUT you triggered an exploration into alternatives. So I used a pair of tie-downs and made (hopefully) the first ever "strapped trap bar squat" device - it actually works great so far, you can subtly move the weight load on your back as you descend. Takes the load off of my lower back and allows for a close stance and depth.
I'll get some better straps and some padding, but this thing is awesome so far. Let me know where to send your commission