^ Byrne’s was actually a Musicmaster II exactly like this one...
https://guitarchimp.com/products/1966-fender-musicmaster-ii-olympic-white-vintage-electric-guitar... except he had some kind of humbucker pickup added to the bridge position.
If you're planning to fuck with it yourself then it would make more sense to get a second hand Squier off of ebay or Reverb (you might even get an olympic white one).
If you're getting it modded by someone else then it'll cost at least £500 for a refin, pickup, pickguard and wiring. All the player strats are factory routed for HSH and I've seen some Mustang and Duo-Sonic variants with Humbuckers and P90's so the Mustangs may all be HH routed which would save some time and money.
If you have my luck then 5 minutes after you commit to doing it Fender will announce an FSR Byrne tribute model.
I was so pleased with my Player Strat that I've just bought the short scale Player Mustang bass in FSR metallic lake placid blue.

It's great having a bass I can play for more than 15 minutes without getting overstretching pains in my tiny Trump like hand.
The just about adequate pickup selector switch lets it down though so I'll likely be swapping that out for a mini blend pot.
Even though the Katana has a bazillion built in Boss effects I've also bought some pedals.

Amazon selling these clones for around the same price as 50 grams of Gold Leaf baccy, mad.

The EHX Soul Food is my first Klon clone, I much prefer it to the tube screamer and Boss OD type circuits.
I've got enough left from the money I had saved up to get a cheapish looper pedal.
Currently looking at the £70 Donner Circle which has a decent built in drum machine which would allow me to jam with myself without having to boot up the PC and run a DAW.