Many things could be going on at this point such as the compressor might not be coming on due to a low pressure switch tripped which would mean you are low on refrigerant or the run cap could be bad, not allowing the compressor to start.
Can you get to the outside condensing unit to see if the fan and compressor is on while on call for cool?
Thanks for the help, Doc. I'm in a condo building, and the compressor is on the roof which I don't have access to without a ladder. Sounds like my best bet at this point is to call a professional rather than trying to fix this one myself.