With the quality of many used records today I won't be spending $5,000 on an analog rig.
I have over 2000 used LPs and I have no idea what you mean here. Yes, even from Sleaze-Bay. There are the occasional trashed LPs in the used bins. However, my experience has been that for every one of those "ain't never gonna' play" you will find a dozen or two that clean up and play beautifully. And you can't always tell from surface scratches how the LP will play. Cleaning techniques. That is the key.
This brings up another issue that Doug mentioned and that Tube540 may not be aware of. Many of these lower priced, post-entry level tables will also magnify the sound of less-than-pristine grooves. As Doug said, you have a choice of compromises with budget tables. You may find that you are sensitive to more than just speed stability. IMO, all of the budget tables are either overly bright: to make you think you're hearing everything in the grooves, or they are too dark: to make sure you do not hear all of the resonance issues.
I suggest to you to get out and try to listen to as many tables as you can, if you haven't done this already. Especially that Rega you mentioned. With or without the TTPSU.
If it were me and if I was sure I would not increase my budget in the future, I would seriously consider spending money on a re-plinth Lenco project before dropping any money on any table in your budget range. You can either do the work yourself or ask around for someone to build one for you. I have a Lenco in storage but you can't have it. ;-)