You could alternatively use a 1.8 Miata diff, which uses the same aluminum rear section as the FC but with different bushings and has factory ratios of 3.9, 4.1 and 4.3 if I'm not mistaken, plus a 3.636, 4.77, 4.88 and 5.12 are available as well. Pretty much covers all the ratios one could want.
This will require a new front mount and a longer driveshaft as well, but the Miata has the provision for a mount, since that's where the PPF attaches.
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