Okay... wedge hitter idea is on the table... here's another... the Ascending DH...
The starting point premises of this concept are that
(1) Just as is currently held, the DH is not hinged to the pitcher, but rather is a permanent fixture in the game. The DH position is a constant within any game.
(2) The DH begins the game batting in some slot in the order, maybe most plausibly #9, substituting for whatever player is otherwise scheduled to bat in that slot... ordinarily, the starting pitcher... but thereafter, he ascends in the batting order, effectively batting every eighth spot... so, substituting for the 9th slot batter, then the next time through the order, substituting for the 8th, then the next time, the 7th, and so on.
(3) The manager may choose, at any point that he believes it is advantageous to do so, to allow the normally-scheduled batter to bat rather than the DH, but in so doing, the consequence is that he forces the current DH to either (a) move into the field, specifically in place of the last batter for whom he substituted, or (b) be removed from the game.
(To further explain... assume for instance, the DH is due to substitute for the 6th slot batter, but the manager prefers to bat the current 6th slot batter instead of the DH. Then, the manager can either move the DH into the field and bat him in the same slot he last batted in (7th)--and thus, removing that formerly 7th slot batter from the game... or he can remove the DH from the game. Regardless, one of the two will be out of the game. And, notably, the next time around the order, i.e., in the 5th slot, the manager will have the option of either batting that scheduled 5th slot batter or a new DH.)
(4) Any new DH must come from the bench.
Dare I say, pun intended, though maybe at the idea's peril... hehe... this potentially could be considered as the offense-emphasis "on steroids" and the strategy-emphasis "on steroids." I believe all would agree that, under these conditions, both interests are not only served, but are enhanced.
Why AL fans would like it
1. The DH is enhanced because he has an even greater impact on the game than he currently does, by virtue of his coming to the plate every eighth time.
2. The pitcher's longevity in the game remains independent of the DH's.
Why AL fans wouldn't like it
1. Pitcher still gets to bat almost always once every game, i.e., the second time through the order; thereafter, of course, it's likely that between double-switches and pinch hitters, the occurrence of a pitcher in the batters box will be somewhat rare.
Why NL fans would like it
1. The strategy is enhanced because managers have to be even more cerebral than ever before--weighing every move in light of the DH's next due slot in the order. The fact that the DH appears every eighth slot following his initial plate appearance adds another layer of complexity. The criticism of the NL game that what is called "strategy" is actually fairly rote moves would seem to go by the way side--there would seem to be significantly fewer "no-brainer" decisions.
2. The concept preserves the intrigue in the NL game that occurs from fatiguing pitchers being stretched in order to accommodate the manager's desire to set-up the next inning's slate of batters.
Why NL fans wouldn't like it
The DH would become once-and-for-all a permanent fixture of the game, ending any hope of its elimination.
Okay... have at it... troubleshoot this one at-will... I'm listening.