I tend to look for a 'balanced' tone between the high end and low end, not thin but a little thick and warm, with mids and hi-mids pushed a little more than the bass and treble and usually with a touch of 'hair' so the bottom end has a hint of sizzle. I tend to roll off the top end a little, 'filter' it so to speak, so the treble side sounds a little fatter and warmer when I use the bridge pickup. This makes it sound very much like a front pick up, somewhat 'vowel-like' but allows the bottom end to still have some bite. I push things along with OD pedals, hence the more than normal treble roll-off. There is a fine balance between 'blanket over speaker' tone and allowing some clarity and presence.
I also like it a little more compressed for sustain and fluid reasons and it's not unusual for me to cascade two (maybe 3) OD pedals to achieve this. An EQ pedal is a very handy one to have, in the loop and out front.
I've read my post and it sounds somewhat contradictory in parts but I can't explain it any better. **** hard to explain 'tones' in words..... hair, bite, thick, fat, round, toneful......