Red Hackle,
Does the quality degrade when you send them one way or are they still degraded when they come back to you?
Do a test:
Send them to this other computer, then have the other computer send them back to you. Then check the quality. (I have a suspicion that they will come back to you exactly as they left.)
Take Care,
Richard
P.S. Without any specs on either machine, it is very hard to help you any further.