Pat Metheny tends to roll all the tone off his Gibson, but less on his Ibanez. YOu want to be able to roll the tone off to create a very warm sound, but I tend to keep a bit of treble in there for a little bite and definition. Put the mids nice and high on your amp, with a nice amount of bass, and again put a little less treble than you otherwise would. Use the neck pickup of the LP (which were made for jazz in the first place) and as little gain as you can. A good option can be turning the gain on the clean channel down, with master volume up very high, then turn down the volume on your guitar. This will give you a very clean sound, with a lot of warmth.