Any recommendations for a new ~500GB drive? Are SSD's still not recommended for recording duties?
SSDs are fine for recording duties. I prefer Intel, Sandisk (Western Digital), or Samsung.
But 500GB isn't much for a TV recording drive, and you can get Hard Disk drives up to 12TB these days. Unless you really want a quieter PC, and just watch and delete all TV recordings pretty quickly, I would go with another HDD in your PC. It sounds like that is what you had before.
If you go with a HDD, I have used the Western Digital Red drives, which are just a little bit better than the old Green drives that used to be available. The Red drives are still a good choice, but the Blues are probably still good, and the Purples are for always-on applications (surveillance) so would be good, but are a bit more expensive though.
I'm not a fan of Seagate, but apparently they have some pretty good HDDs these days as well.
Lots of choice, and storage devices are far better quality than they used to be. Just research before you buy.