I've not flown with Derek Davidson however I can comment about the accelerated training in the US , my advice is not to do it . I did an accelerated course for my PPL and regretted doing so when I moved on to my IR .
My PPL training was rushed and my instructor didn't introduce me to using the radio properly or flight following which did take a toll on my IR training as I had only ever used the radio to communicate with Ground and Tower at local airports. Short field / Soft field landings were patched in just before my check ride and I didn't really get the hang of them till I did my commercial training , even normal landings were a bit wobbly and never got addressed. The accelerated training is geared to get you to pass , you don't learn finesse and some of the examiners pass people that have no business being near an air plane.
It took some of my hour building to fix the gaps i had in my PPL training and I did regret that I hadn't had more time for lessons to soak in and to receive better training standards for what would be the base line for a chosen career path. If you plan on doing it for recreational purposes and won't mind taking baby steps on your own after getting your license to fix any possible gaps then do it , but don't get your license and plan a flight from East coast to west coast or go anywhere near Class B airspace till you feel that you're up for it and have some experience under your belt.
If you can spare the time then just go with a standard PPL course in the US from a good school , it would probably take you 4-8 weeks in Florida.
Just my 2 cents and good luck
