So I had a pretty simple idea that seemed so intuitive I can't believe I didn't think of it sooner. Just give the dragon an action option to recharge their breath instead of a recharge roll.
Breath Weapon (1/short rest).
Legendary Action (2) - Recharge Breath: The dragon regains the use of its breath weapon. The dragon cannot take an action until the end of its next turn.
Effectively you are trading in an entire round of inaction to recharge your breath. Now in a straight up fight you generally would not want to do that, but if your doing a "fly by" type encounter with a dragon, it might be worth it for the dragon to recharge every other round to do another breath weapon pass (that's why I left it at 2 legendary actions...so the dragon can reposition while it charges up the "nuke")
Doing the Offensive Math on the Adult dragon, its 123 normal vs 131 with the breath, recharge, breath. So if you drop the breath just a bit (from 88 to 85), and increase the claw damage from 17 to 20... the two routines becomes virtually equivalent (125 vs 126), and they remain at the same CR 20 offensive range.
I found that instead of removing the legendary actions, if you just make the recharge an action and make the following adjustments:
1) Breath: 88 -> 80
2) Bite: 33 -> 36
3) Claw: 17 -> 20
You get to 124 vs 126... still really close and that removes all the awkwardness of spending legendary actions before your action and then realizing you can't recharge your breath, etc. It also means that the dragon can still apply a little pressure on the party when its recharging, instead of just "twiddling thumbs".
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