Hi. No. 44's in my stable. Except for the antique Marlin .44-40 that doesn't work.
Anyway, the .444 uses the same bullets as the .44 Mag. Trick is finding 265 grain data(no 265's on Hodgdon's site. There is 270 grain data that will do nicely.) and to some degree how well your Ruger will handle bigger bullets. Very likely not an issue though. Max OAL is Max OAL. Max OAL for a 240 is 20 thou longer, so the 270 data will work.
Assuming your Ruger Carbine is the semi-auto OAL will be "fitting in the mag" anyway.