What engine does your kart have? Its max RPM would help us to give you better advice too. (is your engines governor still hooked up?
The biggest rear sprocket (thats avalible to fit your particular kart) would offer the absolute best acceleration, but it would also give you the lowest overall top speed...
Assuming your (22") rear tires are somewhere around a 68" circumference and your engines max RPM is 3600, I'm thinking your kart is currently geared to top out at nearly 60 MPH. (so its no wonder your kart doesn't have much "bottom end")
Here's a link to a gearing calculator you should check out: :
http://www.gokartracing.org/Calculate.htm
You can calculate your curent ratio, plus serveral other diferent gearing combinations to come up with your top speeds for each. You'll want to settle on an axle gear that gives you the best compromise between good acceleration and your needed top speed. (just remember that gear ratios for higher top speeds, almost always = less acceleration/bottom end)