Does anyone know of a leasing company, landlord, apartment complex, etc. in or near Denver, CO that will allow three litter-trained indoor cats?

We are moving out to Denver by the end of August but are getting turned down because of the number of pets we have. We could easily lie and say we only have two, but feel that honesty is the best policy. We are responsible and wish that someone would take a chance on us and allow us to reside on their property with three cats.