Consult with Lord Sheldon. You may have some luck adjusting the centeredness of your ring as detailed near the bottom of http://www.sheldonbrown.com/singlespeed.html .

You may want to back off the chain just enough that at the tightest there is ever so little play in the chain. Enough that it's not binding. If it's not too loose at it's loosest, see how it feels when you get up on it.

Otherwise you could always get a high quality track ring which are manufactured to higher standards.