I'm not the one to ask about relative strengths of different magnet material. I'd have to look 'em up just like you would. (If anybody else has an answer please chime in.)
My previous post was mainly to point out that you had provided the necessary info for an intelligent answer - and to fill in as much of the answer as I could.
The one part of my answer that I'm not solid on is whether the material substitution you suggested would make enough of a field boost to be worth modifying the coil windings. I took that claim from a previous poster.
Now that you know what info you're looking for and what to do with it you should be able to get the relative strengths of the different materials from tables available online and make your own decisions on what to do with the coils of your machine versus a reference design.
Note that it's a lot easier to figure out if you keep the material geometry the same (except for adjusting the air gap). Things get more complicated if you change the dimensions or shape of the magnets.