Clinton, here's a link to a chart that lists the diamiter of all #35 axle sprockets:
http://www.azusaeng.com/Sprockets/AzSDno35.pdf
That chart shows that swapping your 77 to a 60 tooth would only achieved around an inch of additional ground clearance... That'd help a little, but you'll find that even a 60 tooth would still hit the ground quite a bit when riding over bumps, rocks, curbs and stuff. So instead of replacing your sprockets, I'd sugest you simply instal some sprocket guards. They're made for karts that race on dirt tracks to help solve this problem.
The 9" Nylon pair (priced at $12.95) at this link would help protect your chain and 72-tooth sprocket:
http://www.out2win.com/catalog/sprkt_acc.html
Larger sized sprocket guards (for your 77-tooth) are avalible here:
http://www.cometkartsales.com/store/sprocket/guards.htm
Heres a pic showing tthe sprocket guards on one of my karts:
(another big advantage of instaling sprocket guards is they help keep your chain from flying off)
PS:
Those sprocket guards come with longer bolts/nuts and are super easy to instal. The aluminum ones are 2-piece, and then the lower cost nylon pair (I recommended above) have a split so they can be installed without removing the axle.
From the pic you posted it looks like they'll fit your kart, but just to make sure: They're made to fit hubs using this 6-bolt pattern: