Restore of different days datafilecopy and recovery following. Possible?

I am attempting to set up a DR site using AWS.  I am space restricted on my backup volumes and because of transfer speed and volume of data, some of my backups will wash out before I have copied all of them.

The result is that I will be restoring datafilecopies from different dates.  I hope that the range will be three or four days.  I will be able to preserve the archived logs.  My question is 'Once I have restored all the datafiles, will recovery have a problem with the different scn on the datafile headers?'  Since some of the tablespaces are quite large it is possible I will have multiple copy dates on one tablespace.  Is this feasible, or will this cause problems in the recovery?