Sorry to hear about your blow at the last hurrdle.
It shouldn't be a problem because after all you only have to do a few circuits and you get the magic type rating, it might cost 3 or 4 grand plus, but at the moment even if you've only got 200 hrs and a 737 rating you'll probably get a job with the low costs so it's definately worth forking out the last little bit.
one of my mates self sponsored a 737 rating , costing £20k but straight afterwards got three job offers and thats with 200hrs !!
Dont know which airline did this but have you tried astreaus as they do 737 type ratings.