Snocop,
I ahve attached a booklet I found earlier on this forum or (DooTalk) that shows the specs for Doos from 1995 to 1999.
The STX/LT ran the 583 engine with 38s, so that is a good place to start.
I also have a 1996 Summit 583 and have removed the HAC. I ride in the 7000 to 9000 foot range and have found that in California spring conditions (35 to 50 F) I can drop down into the high 200s for the main jets. The factory jets (320/330) may not be too far off in colder weather at low altitude, but I think they may be too large for mountain riding.
I have also installed leaner "NeedleJjets" (not the needles, but the brass assy that the needle slides in) -- I think 480 O-4 but I cannot remember for sure. I run the stock needles (Jet Needle.)
I am running 45 pilot jets in both carbs. That carb does not have an air jet.
Also, the slotted-screw plug at the front of the bleed air passage going to the main jet assy should be removed.
Before I removed the HAC and re-jetted, a set of plugs would last about 2 hours of riding.