Best I could find:
Specifically, in 1988, there was a controversy surrounding a proposed game time adjustment for the Arizona Cardinals (then the Phoenix Cardinals) due to the heat in Arizona.
The NFL schedule released in April 1988 had the Phoenix Cardinals scheduled to play the Washington Redskins in Phoenix on September 25th.
In July, three months after the schedule release, the Washington Redskins realized the potential for extreme heat during the game and requested a change in the game's date to their Week 7 game, which would have been in Washington.
The Cardinals, however, refused this request. They stated they had no incentive to swap and pointed out that Washington, with their training in hotter climates, should be more accustomed to the heat.
Ultimately, the game remained scheduled for September 25th in Phoenix, as the Cardinals felt a "schedule is a schedule" and that Washington's request was unclear given their own heat training.
Therefore, while there was an attempt to adjust the game time due to heat concerns, the request was ultimately denied, and the game proceeded as initially scheduled