Recover oracle db from datafile

The very first thing I'd try is copying the surviving control file then restarting the DB - the loss of the controlfile is what caused the DB to crash, and if the redo log group happened to be INACTIVE at the time, then I'm pretty much OK. I'd find this out from the alert log. So long as there is a disk in the right place, I can issue CLEAR LOGFILE and they will just be recreated.

If not then we have a problem - the SCN in the controlfile is ahead of the DBFs and we've no way to get there. We have no choice but to perform a point-in-time-recovery, and we have to discard those DBFs as well. In RMAN, restore database (assuming controlfile autobackup), recover until the highest SCN in the archived redo logs, then OPEN RESETLOGS. Since I have the cumulative incremental, I don't need the differential incremental (I'm not sure why you'd mix the two types? Also why if we had several disks for redo why we'd put an entire group on one disk rather than multiplexing all groups).

(There is probably a much better answer involving flashback, but I have to confess that I have only used explicitly created flash restore points so far, never run through a DR scenario).

Try to "recover until SCN..." before doing "open resetlogs".

You'll need the online redo logs to perform this (not clear from your question whether you have them or not)