Missouri would not go Democratic in a 50/50 election.
Maybe if a favorite son was the nominee, but even then I tend to doubt it. The map in the previous post and Never's are both OK, though they require some sort of boost for Republicans in Wisconsin and Nevada respectively, so I guess they rely on Scott Walker/Paul Ryan and Brian Sandoval being the nominee. A Wisconsin candidate is likelier, making that map the most likely.
The easy answer is that a 269-269 map in 2016 is very doubtful. Last decade was the perfect chance for it, what with all the close elections and the presence of this simple, plausible scenario:
This is a narrow Republican victory map in the present, though. It's achievable in both 2008 and 2012 by universal swing to McCain or Romney. (For Romney, this was the minimal victory map; to win outright, McCain would've needed one more Obama state, the next closest one in 2008 being Iowa).