I know it sounds like a stuck record - but i would think long and hard. I really don't think you will have any luck in the UK getting a job. It's just the reality.
If you are set on it though you should think about going to the US - you will save a lot of cash and having FAA as well as EASA is really handy. It's a pain having to go through converting to an FAA ATP at a later date - I know as I had to do it this year :/
IThere are many schools but If you want to PM me I can put you in touch with where I did my ATP conversion - very impressed and the cheapest price I found in the states - it's in a Robbo 22 - interesting after not being in one for a few years....!