Hi there
You could try archiving during the day as a test to see what additional load you get on Exchange.
If the load isn't that much on the Exchange Server, you could consider archiving from 5:00am to 7:30pm.
If this is not an option, you could at least do it on weekends.
How long is your backup really running on the Exchange?
You could also reschedule this, that you may want to start your Exchange Backup at 00:00 and archive from 6:30 - 11:30pm, this would give you some additional hours.
Cheers