Yes, there's some body resonance, but it's not terrible. The grille is three layers - if you remove the inner layer it opens the sound up and that helps a lot. The tube to PC board distance is not terrible, and you'd have to rebuild the two side channels to pull that off - you'd almost be better off starting with brand new mechanical bits.
Josephson engineering makes a CK-12 style capsule used in one of the Manley mics though I don't know if they'd sell individual capsules, Telefunken USA makes one for his 251 clone, and of course there's the 'teflon' capsule (which is really made of Nylon or Delrin or something like that, and not Teflon) 2072Z0005 from AKG - it was used on a lot of the C414EB mics, as well as the newer C414BULS. It's not the greatest CK12 around but it really isn't that bad either. The Peluso edge terminated capsule is closer to a K67 but in an edge terminated style. It may sound fine (I have not heard it) but a CK12 it ain't.
One caution when working with this mic is that the original capsule is a high-output one, probably greater than 20 mV at 94dB (at the grid), so most any other capsule that has a pretty flat frequency response will bring the noise up. For example, a Sony C37A capsule has an output of about 1 mV at 94 dB and the hiss becomes almost unbearable, even if you go through a box of tubes and find the quietest.
I have had luck with a 12AT7 and about 10 or 15 pF of capacitance from plate to grid, but the 6072's seem to be consistently quieter. A 12AU6 (without that feedback capactitance) actually sounds pretty good but they are also noisier than the 6072.
The 6072 amp is pretty fussy on the impedance of the output transformer, so I'd be tempted to try the Cinemag.