Hi and welcome!
The Cbomb is certainly a good choice, should work great for prog metal. When I asked what to pick for the modern Petrucci tone Cbomb with Cold Sweat neck was usually the answer. The bridge gives you tighness, relative versatility, agression and while it is modern and has somewhat of a 90s metal feel to it, there is still some of the PAF woodyness in there, making it a great choice for prog metal.
The CS neck would be a good paring, as it does deliver very fluent leads and a warm clean tone, while being very defined.
As an alternative you could consider going Holydiver set or HD bridge with an emerald neck.
The HD would be a less agressive alternative to the NB, going for a bit more smooth musicallity, with thicker mids and a more organic feel. Many would say it is also more versatile then the NB, though less tight. The neck is also a great singing smooth afair.
As for the emerald neck, that one seems to be a perfect pair with the HD bridge. It is sweet as honey, open, smooth, fluent,...I heard it often described as a sweeter, more organic CS neck.
Depending on how modern or organic you want it Iīd say pick your poison with the NB CS or the HD EM, canīt go wrong with either.
Cheers!