Hello Scott, welcome to the forum and you’ve already met our resident PRS disliker 😆 . It’s true that people say “PRS-Mesa” almost in the same breath, but I think the Mesa would be the wrong choice for your type of music. All that cascading gain stuff in the preamp I don’t see you’d have much use for. My guess (guessing because I don’t know The Meters) is that the OD should be a bit more restrained; a warm breakup.
I’d be inclined to a vintage British amp (or something new that harks back to them). Gilmour, for instance, used a Hiwatt. They’re mega-expensive in used originals or reissue guise, but then Mesas aren’t cheap either. Hiwatts are famously “clean” sounding for a valve amp which may suit the funky side, but you may prefer more breakup. Of the Brits, I’d try Orange (vintage or reissue) and Marshall for a bit more crunch.
Would this combo/amp be for gigging, low volume, or both? If I knew, I’d be a bit more specific. Also, would you prefer new from the shop or are you willing to risk used vintage? Price area and your country of residence would be useful info, too.