My father travelled for work ALL the time....It was more unusual for him to be home than to be on the road....He always just took a cab home from Kennedy.
My mom was home with us, where I'm glad she was! Granted the trip from our house to Kennedy was only 15 minutes, but could mount to 30 once you factored in NYC traffic...
Now, I know this is a hypothetical, but based on Washington, DC area traffic, at that time of night, going from, oh, let's say Annapolis to, oh, I don't know, BWI

could take about 1/2 hour each way. If a neighbor was around, you could ask them to come over and sit with the kids while you go to the airport to pick up the DH, and tape the show. If no neighbor could come over, 10:10pm is a little late for a school night to get them out of bed (this is based on the assumption these children are of school age)...
DH should understand that the kids need to be watched....and be damned grateful they're asleep when he gets home so he can give his wifey a special, ahem, welcome home gift