My problem with picking up bags is schlepping them around. Yes, she's SUPPOSED to land an hour after you. By the time you get to baggage claim and get your bags, you probably only have to wait 30-40 minutes. But what if her plane is late? It could be anywhere from 5 minutes to a couple hours.
Yes, at some point you can decide to just get on DME, but until you do, you're going to be saddled with your luggage.
I say let DME pick up the checked luggage (assuming landing before 10p).