Hey fish,
I can offer one add-on suggestion if you just want more highs: try boosting your input with a Boss GE7 graphic EQ, with just a little bump on the right. It's too sizzly for my taste in the LSC (though I love it going into my Marshall); but it's amazing how much bite it gives the amp. It's definitely worth a try.
But since you're asking about getting it straight from the amp, I have a couple of questions... Firstly, have you tried new tubes? Since you've gone as far as to do a couple of mods on the amp, I'm assuming you have... but if you haven't, swapping power and preamp tubes can really change the character of the amp, depending on what sort of shape you want the gain and eq to take. I know that my amp's bite and attack really changed when I upgraded my preamp tubes.
Secondly, what sort of sound are you after? It's possible that what you're going for is not comfortably in the LSC's natural repertoire without a stompbox. It is, after all, a 6L6-based design and has a different character than amps that are EL34-based or otherwise. So it kind of depends on where you're feeling like the highs are missing. Is there a reference you can point to as the sound you're after?
Not sure about the presence pot value question (Monsta?). Charles told me he'll be out of touch for a little while; if he were to chime in, he might suggest brightness caps, which I don't know much about but I know he has discussed once or twice around here. Try searching his posts for brightness caps.