Ikea
You'll never get a despatcher job straight away. They tend to go to guys who have worked on the ramp for a while and learned the ropes. Also if you got a CC job you could end up with no time to study - I know a few EZY cabin crew and their rosters are horrendous.
IMHO there would be little to be gained working short term for an airline. They will see you for what you are, and having trained you as Cabin crew or anything else they won't be too happy when in 5 months time you start looking to leave. Or ask for three weeks off for your brush up and exams. I know someone who was CC for 4 years then went to get his fATPL. His old company wouldn't even interview him.
A ground job would be better i think. You will have very little if any interaction with the flight deck but can start straight away and you won't be employed by an airline so if you leave cos they won't give you 3 weeks off you won't be burning bridges.
Even better, but it is rare, would be temp work in an ops/rostering dept. I know it is specialised work, but I know for a fact that EZY use temps with absolutely no background in their rostering and crewing dept.
However I would think again about just how good it will look on your CV. Had you being doing the job for years then loyalty may count for something, but being a loader or check in agent for 6 months isn't going to do much for you. Picture the interview. "So mr Jakes just how much insight into our operations and economics did you gain by standing in the hold stacking suitcases every day?"