well, I have no clue as to your dates. I've seen yesterday's w/20 NRs a few got business and about 50 seats leftover.
today has 30 on the list for 50 seats total

many buddy passes on most lists so you're ahead of the game that way. Can't you get a seat and "holder" for lapchild? That has got to be misery for all of you.
I know Id think YUK if you were sitting next to me...( no kids here--that's why I can't think of what they call a kid holder!) How old is child BTW? they have those baby sling beds at bulkheads, don't they?
I'd be more concerned about getting back to the States w/cargo.