You can no longer buy day passes for delta lounges or I'd be doing that.
Priority Pass is basically useless in LAX.
I've searched FT (and google, fwiw) and looked in that forum, but there's really nothing helpful that I found, certainly nothing recent. I did see I could maybe buy access to the Star Alliance lounge, but I'm not sure on that. I was hoping asking on here would generate new or better options.