If you stick with one airline you should be able to make a "circle trip" with the cheapest fares, so long as you stay over one Saturday. This is a little-known fact. You can try playing with it yourself on
www.united.com. First make sure you are in "expert" mode. You set this in your "profile." Then make sure you always choose flights that have a digit other than 0 following the "cheap" fare codes, usually Q, V, and W.
You may be more comfortable using a United phone agent or a travel agent, but the total fare should be equal to half the round-trip fares between all the city pairs.
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