Well done on passing your medical.
What you want is QUALITY training. Whilst I am sure that there are some suitable training outfits in the USA, there is no certainty that this will be achieved.
CTC, FTE, and Oxford as ATOs are your best bet to ensure that QUALITY is achieved.
Before you are accepted, aptitude testing should be carried out by the ATO.
Independent UK testing is also available.
The modular route is cheaper, but if QUALITY training has been lacking prior to the later stages of training, then you will struggle. Additional training? Retake of flying tests? Additional expense ! Think QUALITY.
A recommendation by the ATO goes a long way to gaining employment.
Book the aptitude testing. A journey of a thousand miles starts with a single step.