Cant say I have seen the 93 but a couple things you can try are to just remove the filter if you can. See what happens when you ride. If the problem goes away, well then you got your answer.
If it still happens, then obviously it is something else.
Couple things it may be:
the fuel cap may have a breather to allow air in so the tank does not become a vacuum. If this is dirty, air will not come in fast enough to allow fuel to fill the bowls. DOes not sound like the issue.
What this sounds like to me is that the bowl level may not be correct.
I do not have the manual for a 93 but maybe someone here does or maybe you might want to pick up one.
Find out what the float height should be and make sure the level is adjusted accordingly.
Also, all the bowls should be at the same height. To check this, you should have overflow drain tubes, hook up clear tubing in place of these tubes and curve them upwards, then open the drain screws. The fuel will fill the tubes to the same height as the bowls. They should all be close to even.
See what might be happening is with the choke on, there is enough of a vacuum to draw the fuel in but once you take the choke off, there is not enough vacuum in the idle circuit till you have throttled up.
This all assumes your bike has carbs.
The ride IS the adventure. The destination is just to get gas!