Hate to be the contrarian but other than a 3rd and 1 play where the RB whiffed a block, I'm not sure there's a particular play one can point to and say "just run baby". In general, the Falcons had success all year with a balanced attack with play action passing. The symbiosis between run and pass is what led to their success. Hopefully Kevin Wilson brings the same sort of philosophy. Based on your drive charts alone the only way to deprive Brady of a chance to tie the game (other than by scoring more points, which likely involves successful chunk passing plays to Julio, or playing better D) would be to somehow burn 3.5 minutes off the clock in prior drives.
In fact, if you look at the play-by-play in the 2nd half for ATL, the only incompletions came after they got behind the chains and were in obvious passing situations (2nd and 11 and a couple 3rd and longs). The main offensive-execution-based reasons they lost were Devonta Freeman completely whiffing on his pass blocking responsibility, and a bad sack taken by Matt Ryan on 2nd down in the red zone. Both of these were mistakes by players in execution rather than fundamental play calling gaffes. They got to the red zone on the "should've been a FG to clinch it drive" by completing chunk passing plays as they weren't as effective running on first down in the 2nd half. A weird thing happens when teams are way behind, especially smart teams like NE, they play really aggressive D so if you play really conservative offense you tend to get behind the chains.