I would say having no european flight experience is a major issue

If I wanted to get my UK driving licence I wouldn't got to the US to get it, why? The roads are different, the traffic is different and the general atmosphere is different.
Yes you can come back here and build on your hours but you wont pick up the tips, advice or knowledge from European Based instructors who know about the enviroment they are flying in.
The FTOs over here can't bring their prices down to compete with the America schools because of Tax. They pay higher VAT, Fuel and income tax.
It's cheaper to fly in the UK at the moment because of the crap USD v GBP rates at the moment, if you are looking to get it all on the cheap then South Africa or New Zealand would be better.