If you really fear too much brightness then Crawler is the way to go.
Indeed. The Crawler is perfect to warm and fatten a very bright guitar without loosing the chime and bite, and is a very versatile pickup that can do almost anything, except possibly extreme brootalz metal. FWIW, that was my first reaction when reading your post.
This. I'd like to add that when I get a guitar to sound what I like it to sound like, I can play pretty much anything with it. Although it usually excels at few things and is less extraordinary at some others :)
But for the OP: Crawler's were my first idea for your PRS. They were also my second idea :lol: You've practically described them in your post. High enough output, fat tone, etc.
For the LP, Mules or Black Dogs. Depending on the amount of mids you want/need for the guitar. Burstbuckers are very vintage-oriented.
-Zaned