When I had to decide, I could choose between Oxford and Cabair. I chose Oxford. Unfortunately, you don't have this option!
If you really want to go 'integrated', I guess that you've got to go to Cabair. But being 'integrated' won't have any discernible benefit over going 'modular'. Save a little bit of cash and go modular. (You will only have 110hrs and a CPL if you go integrated. With modular, you will have 185hrs for about the same price.) You may, however, struggle to find a loan for the total training amount (especially in the current credit climate.)
Either way, don't fall into the trap of believing that getting a CPL is a ticket to a job. This has been covered in depth many times before but you should also budget for an FI rating (£10k-ish, lower risk but, initially, lower returns) or an IR (£30k-ish, higher risk but higher initial returns.)
I hope that this helps and best of luck with your training.