While your chances go up significantly with a type rating I think it goes up more with a 757 type rating as not many people tend to go for these. All those that I knew did it got jobs in weeks as they told me there is a shortage of them.
The only downsiode is that it is a bit more expensive than 737 or airbus with Astreus you do get 50 hrs on top with which you should be able to go to jet2, thomas cook and the rest of them even BA as long as your combined total hours is 500 or more with a type rating on one of thier aircrafts. If I had the money now thats what I'll do.
Good luck