No Archive Mode and corrupt system01.dbf

My client received the following yesterday:

ORA-01578: ORACLE data block corrupted (file # 1, block # 39041)

ORA-01110: data file 1: 'E:\SV\DATAFILES\MPC\SYSTEM01.DBF'

Although the client had a backup of the system01.dbf file, since they were in no archive mode, I was not able to restore the datafile. Is there any other options available? The latest full, complete backup is quite old (don't ask).

I did copy over the recent backup and found that system01.dbf needed logs:

 SQL> select min(fhrba_Seq),max(fhrba_Seq) from X$KCVFH;

          1734           1740

 SQL> select hxfil FILENUMBER,fhsta STATUS,fhscn SCN, fhrba_Seq SEQUENCE,fhtnm TABLESPACE from x$KCVFH;