That sucks about the Lip. No wonder the water was "evaporating" so quickly. I am not sure if this will work, but in order to keep most water off of the side that was broken, try putting a small peice of acrylic on the overflow on the side that the lip is on. This will divert the flow to not be directly ont he lip.
I hope that makes sense.
I didn't really have a true cycle with my tank when I put in the fully cured rock ( no algea blooms or spikes)