I've got UK and US licences, and whilst British have flown a lot in the USA.
I think that flying in the USA is a fantastic experience, well worth it for the learning and, frankly, the sheer fun of it.
Last major course I did in the USA was in Florida in 2019 and when I added it up, it saved me little or nothing compared to doing a similar course in the UK. On the other hand, it probably didn't cost me any more either (and as it was an FAA course I had to do it there anyhow).
So, I'd not talk you out of it, but do ensure you've done a reasonable amount of flying in Britain before your CPL course. The UK and US do not do everything the same way.
If you do go to the USA: Florida and California are great, and popular - but also particularly expensive. Arizona and Nevada are a pretty good bet for a unique flying experience, good weather, and hopefully a bit more affordable.