To be honest, I'd go to the states and do the whole lot there if you have the time (4 weeks). make the most of the cheap $....
You're looking at $150 per hour in a brand new DA40 equiv., or $110 in an old Cessna 172 or Warrior (dual prices), and no "additional" fees.
I'd just get the FAA PPL and use it over here which can be done with no formality.
Additional costs for going to the USA include £400 flight (rtn), $1200 hotel - so £1000. But over 50 hours this is £2750+£1000 as opposed to £8250 + extras. Plus you get to see and do a lot....
Sorry to be negative about UK flight training, but if cost is an issue there is no way that the UK can compete. Wish it could......