This is about Commercial and Instrument rather than Private (I did one of my PPLs in Florida in 2000, but that is so long ago that everything has changed) - a thread I made "the other side", and might be useful guidance to you on practicailities and costs, if not a direct map.
https://forums.flyer.co.uk/viewtopic.php?f=5&t=112676
It might help.
In my opinion however, do your PPL in EASAland - learn how to fly to the highest possible standards in the UK, and probably do your IMCR too.
Then seriously consider hour building in the USA or Canada, which is an amazing and affordable experience. A Canadian ridealong PPL is a lot less aggro than an American one incidentally (I've done both, albeit that I now have my standalone FAA CPL/IR so the 61.75 has been officially torn up.)
G