Well, looks like my problem from last year has happened again. Either no response or they're all unavailable. The closest I got to a positive response was maybe Monday and Tuesday night but wouldn't know for sure until Sunday night. I am spending way too much time and energy on finding a place through CS.
I'm looking into Hostels now, although three of the closest ones have their websites reporting as dates unavailable. o.O I'll give them a call once we've stopped for custom inspections.
Otherwise it looks like I'll be forking out the cash for a hotel, at least for tonight. Oh well.