Looking for a more solid-feeling turntable (and maybe a new preamp)

I agree with you. I used to own a mid-level Rega and a friend owns one. I understand why lots of folks like them. But they are not my cup of tea. They always sound light and unsubstantial to me. 

I would recommend looking at VPI, SME, and Linn. I owned a VPI Aries for a couple decades. I highly recommend one of their suspensionless models.  I now own a contemporary Linn LP12. Also a great sprung  turntable. Its upgradability is a fantastic feature. I started with a mid-level configuration and then upgraded to about the top of the line. If you’re one of those folks that wants the best, but can’t afford it... now. This is an excellent choice. Each of four upgrades were sonically very significant and cost effective. My dealer just charged me for the difference between what I had and the new component. 

The upper end of the Technics line looks awfully nice (and substantial). 

Solid reputation and very good reviews. I don't have personal experience with the newer ones but the old 1200 series we very solid. 

Here ya go!

https://www.vpiindustries.com/vpiforevermodelone

@hiscores - was at my local shop yesterday to pick up a Powernode for my outdoor deck system. They have this super loaded VPI, Scoutmaster Ref and demoed it for me. Please purchase it cause I don't have the $5K and I couldn't sleep all night thinking about it, lol!

https://holthill.com/collections/vintage-audio/products/vpi-super-scoutmaster-reference-turntable-with-all-the-upgrades

VPI makes very solid tables for the money.  Starting at about $2500.  If you don't mind a wee bit of fussiness.