No can do. Custom maps aren't supported by quickplay, unlike the rest of our servers. The Events server is what we use for custom maps and mods, but it's not quickplay registered because the maps and mods disable it. The EC's are always coming up with new ideas and looking into things for new events, so keep an eye out in the future. If you have a question about events, feel free to talk to me or any other EC.
Ditto. Your best bet for having a time to play any of your custom mods is to ask an event coordinator like VP or I to run an event, whether it be scheduled or impromptu.
Event Coordinator, awaayyyyyy!

Not exactly true to the point, but close.