Here is a 0.84 acre plot, just North East of Green Valley Road, available for $35,000. Unfortunately, this is the only lot that fits your criteria.
If you're looking to broaden your search, I'd recommend that you use our Map and Custom Filter features. It will make it a lot easier to find what you're looking for. You can start using these features by clicking here: http://www.trulia.com/for_sale/Manhattan,KS/x_map#for_sale/M
Good luck with your search!