If it really cares about player safety, NFL could schedule around it. Hypothetical Fins sked based on this year's game dates:
Sept. 11 AWAY
Sept. 18 HOME, SUNDAY NIGHT FOOTBALL
Sept. 25 AWAY
Sept. 29 HOME, THURSDAY NIGHT FOOTBALL
Oct. 9 AWAY
Oct. 16 AWAY
Oct. 24 HOME, MONDAY NIGHT FOOTBALL
Oct. 30 HOME, 4 PM START
That sked gets you into milder November weather.