Tricky one for you mate. Some schools seem to be quite flexible. When I was looking bournemouth said I could have any date I wanted as long as there were two of us. From that I would infer if you could find someone else in the same situation you'll be laughing. That could be the tricky part as most folk seem to want it done ASAP.
Not wishing to sound workshy but in your situation I would consider pulling a 'sickie'. Most courses are 8 days so you'd need 4 off. Obviously flying is your priority and you can't apply for jobs unless you have that certificate (or at a push know when you will have). I suppose here is a good place to start in the search for a P/T MCC partner though.