Looking for my ideal Telecaster (will settle for unicorn)

US Telecaster Deluxe models in past has most of those features. Not sure if noiseless pickups changed.

I was looking at them.

 

Contact Fender and have them make it for you from their own parts at their "Mod Shop."

It's not full-0n Custom Shop, but it doesn't carry the CS price tag either.

 

Unless there was some kind of special run the American Deluxe/American Elite/American Ultra Teles have not had gold hardware from the factory. The specs you seek are available in some form or another on models starting in 2004:

1. American Deluxe 2nd Generation - SCN version of the noiseless pickups, S-1 switch, and as long as you're okay with an alder body you get the binding around the top and the back contour, Modern C neck shape. This version does not have locking tuners or a compound radius neck (it's 9.5", the modern standard radius for Fender) but it has the green abalone dots.
2. American Deluxe 3rd Generation - N3 noiseless pickups, S-1 switch, also only the alder body versions have the binding and contour, Modern C neck shape, has locking tuners and has the compound radius neck (9.5"-14").
3. American Elite - N4 noiseless pickups, S-1 switch, all versions (ash and alder) have the binding and contour, locking tuners, compound radius neck; now has "Modern C-to-D" shape - starts out as a C but morphs to a D.
4. American Ultra - "Ultra noiseless" pickups (i.e. 5th generation noiseless), S-1 switch, locking tuners, "Modern D" neck shape, revised compound radius neck (now 10"-14"). Had ash bodies available for part of the year (these were released in November 2019, ash was discontinued about April 2020) but are now all alder.
5. American Ultra Luxe - new model just introduced; has ash bodies and what is described as a thicker neck with a slightly different shape (called "Augmented D"; other feature same as the "regular" American Ultra.

On all of these the S-1 switch changes the middle position on the switch from parallel to series; no special/fancy wiring like on the American Deluxe/American Elite Strats (American Ultra Strats have a drastically simplified wiring for the S-1).

While I was typing this @Telenator posted an excellent suggestion - see if you can get everything you want through the Fender Mod Shop; you may come out better cost-wise than buying and modifying a production-line model.

 

Looks like a Partscaster build is in your future.
I’d suggest the Squier CV teles as your starting point. They are great off the rack and you can buy everything your looking for and change it out with a screwdriver. there’s a ton of places that will do the wiring setups as well so all you’d have to do is solder a couple of wires or ask a buddy if you’re not comfortable.
Partscaster builds are too easy so don’t be afraid to create your perfect tele!

 

Which American Deluxe Strat do you have? As far as I can remember the only one with factory gold hardware was the 2004 "50th Anniversary Edition".

 

Doesn't the Richie Kotzen model tick most of your boxes? Very pricey though...

https://shop.fender.com/en-NL/elect...ie-kotzen-telecaster/0255202532.html?rl=en_US

1) gold hardware: yes
2) last generation Cobalt noiseless pickups: no but these pickups are probably nice too
3) a contour body: yes
4) locking tuners: not sure, don't think so
5) S1 switch: parallel/series rotary switch
6) body binding: yes

 

That's a nice one. As mentioned that was the only American Deluxe to get gold hardware from the factory; it was just on that anniversary edition. They didn't do a commemorative edition American Deluxe for the 60th Anniversary of the Strat in 2014, but the commemorative American Standard Strat that year did get the gold hardware.

Good luck on your search. I see where another poster or two mentioned the Kotzen Tele; that might be worth a look, but otherwise you may be looking at a build to order through Fender.

 

Looks like Custom Shop time

 

Looks like Custom Shop time

 

Looks like Custom Shop time