Welcome mate. Been around for a while here, but this is the first time Iīve seen a post formatted like this. Thanks for keeping it fresh!
For the bridge, this pretty much screams Ceramic Nailbomb. Perfect for Petrucci, Govan, Tremonti and all. So that is done in my book.
The SCs are a bit harder because you have a wider range there. I am not quite sure about the volume balance with the NB, but besides that I am leaning towards the Irish Tours here. They are a classic single coil turned up. Bit more rounded high end, extra mids and bottom, more power, and a certain something that makes it love gain more and come alive there with a certain magic rock dust. Since they are still classic single coils at heart they retain woody tones and with a slight turn of the volume pot they become very classic. They cover the Frusciante stuff and all well while also delivering rock and blues leads with easy.
The only thing where the neck might hit its limits is Tremonti and such, the high gain metal parts. I am not quite sure though as I donīt have them in a neck position. I reckon they should be able to do it, but their comfort zone ends in 80s metal.
The Trilogy Suite would be the next highest option and do the metal better, but it would cost you with the classic stuff.
Makes me wonder if an IT/TS combo could work with the TS being in the neck. Could give a lot of range due to lovely 2 and 4 positions and retain a metal capable neck pickup. The IT then would just add a ton of versatility to the setup.