Is moving to Japan for TEFL without a job lined up too risky?

Hi, I'd just like to get some opinions. I don't mind some risk, but I don't want to make a downright stupid move.

I'm late 20s and hoping to move to Japan for TEFL. I'm in the UK and met my girlfriend here. She is Japanese and due to personal reasons has had to return home.

I've missed the window to apply for JET, but have applied to a different organisation. I haven't heard back from them yet. If I get a job offer I will go over whenever I can start. Although, if I don't get a job offer, I'm considering still going over at around April or May time and living off of my savings whilst I search for a job.

Do you think this is a good idea? If I'm there at that time of year do I have a good chance of finding a job? I'm not too fussed about location and would take almost anything.

I was hoping to get some opinions on this. Would I stand a chance of getting a job, or am I shooting myself in the foot by going over without a job lined up?