I guess I would be curious how often a 10 minute drive has happened in the NFL, especially with the defense being able to use timeouts. If it happened once in 100 OT games, it would still be better than the current format. Winning TD's on opening drives happened 3 out of 13 OT games last year.
I think a way to even out the coin flip a bit, would be by giving the winner the choice of starting with the ball on their own 15 or giving it to their opponents on their 15. I really would like to see the coin flip taken out of any new system, since unlike the opening coin flip, its advantage (receiving or kicking off decision) is never recouped by the team losing the toss in OT.
As far as throwing up your hands at the end of 60 minutes and saying "a tie is a tie", I doubt many fans would be to happy with that. While a tie is better than a loss, its probably right up there with kissing your sister. LOL
Another idea I have been kicking around in my head. Kind of combines college and pro. Give each team 5 minutes with the ball on offense, starting on their own 20. Treat it like the last 5 minutes of the 4th quarter with clock stoppages and reviews. 1 timeout/team. The big question is who starts on offense? I would let the visiting team decide that, since the home team already seems to have the advantage of home field the entire game.
I know on the 10 minute drive thing, I just threw it out there because I believe in one of your posts you said (5,10,15 minutes.) and a 5 minute drive is not out of the ordinary. EDIT, that was someone else, not you, I'm sorry.
I also know fans will not want to go back to the tie I'm just giving my opinion.
Like I said, so far it seems that any new ideas, including my own, that are proposed will have others coming up with negatives.
Why not take away the receiving or kicking off advantage. If you win the toss you receive, no choice. Your main objection is the coin toss as you see that the winner of the toss has a distinct advantage. 3 out of 13 won on a 1st possession TD is significant to you. If we give the other team a chance no matter what happens wouldn't that take away the advantage of winning the toss and scoring a TD, especially if you have to receive and don't get the advantage of knowing what you need to win.
IMO there is no 100% fair way to do it. The best way is to simply not have an OT and let games end in a tie but that is not possible in the post season and to most people it is not desirable in the regular season. Someone will always has the advantage, at least in someone's mind.