Assuming you get to ride it some b4 bike week, I'd try some techron or something of that sort and see if it doesn't clear up. And check out all the vacuum lines..they are going on 13 yrs old..
+1 on the Techron and don't skimp with it-pour in the entire bottle when you fill up. Might have to do it a couple of times. Save the hard expensive stuff til last IF the Techron don't help. RIDE SAFE.
Sentry and Seafoam work well also. If the chemicals don't work, I'm guessing you'll have to have the carbs rebuilt. If you can't do it yourself, that's around 800 bucks at a Honda shop. Lot's of info here to do it yourself. I'd hold off on having the valves or sync worked on.
When you try the chemicals, you should put a heavy dose in when you fill up. Reving the p*ss out of it isn't going to help anything, because it's always the slow jets that clog. So after filling up, take a nice mellow low rpm ride for 10-20 miles, then let it sit for a few hours or overnight, then see where you stand.
Keep it simple for now. Check also all the "hose" clamps in between the top of each carb and the airbox. They come loose, and can be gotten to without taking anything apart. Since you've been driving it for a few days I assume you've filled it with fresh gas?