Which LP do you have?
What year?
Which PUPS?
Looking at the PU rings as a guide how far did you lower them?
ex: neck "flush", "little higher", "little lower etc."
Since you're "lov'n" the results, I may give it a try.
Actually it may apply to any electric guitar, SRV was notorious of having a high action some call it "telephone line" action. Many claimed this attribute to his tone (well besides his abilities), trade-off, you may lose some gain but you get fidelty and better string movement (I think).