I would like the game to have more important plays and more strategic choices, so I’d be in favor of all sorts of plans that remove extra points. Or at least to make more frequent situations in which going for two is preferred over the extra point.
At first I thought perhaps just simply losing the option for an extra point would be good - score 6 for a TD, and force a team to try for 2. That would create interesting situations where teams frequently gained or lost a conversion and had leads of 2 points over their opponents. But then I thought I don’t really like that change of the ratio between field goals and touchdowns - field goals should be worth less than half a TD, especially with kickers being so good now.
So then I thought perhaps award a TD as 7 and then give a chance from the 2 yard line to add one extra point on top of that. That creates more dramatic plays in the game, and adds some interesting late game scoring differentials that could lead to drama, but this lacks the immediate strategic choice I’m craving.
Kick the extra point from the 20, making it a 38 yard field goal. The 20 seems natural. Maybe 25, for a 43 yarder. Problem with this is that kickers are so good you might just be reducing a 99% chance to a 94% one, not terribly compelling. But it’d be closer to being a real decision, especially in adverse conditions, so better than the current situation.
Oddball off the wall solution that would be a fun novelty but would never actually make it in the rules. Make the scoring player kick the extra point from the place he scored the touchdown (meaning you could have odd corner kicks from near the sideline) - that would just be all sorts of fun.
I’m not at all swayed by appeals to tradition in terms of rules for games. “It’s always been this way” isn’t persuasive to me - and if you can change the point after rule to make the games have more interesting, meaningful, dramatic plays, or increase the strategic choices available to coaches, great.