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What?!?!?
Your approach allows you to make a leap to 4♥ with that hand, and you wonder about the nuances of what to do after a 5♦ call? Are you serious? The description you gave as to the call of 4♥ is about the most ridiculous I have ever heard for a person playing something non-standard and presumably thought out and intentional. The only person I could imagine agreeing with your actual call is Bubba Jones, the 99-year-old fart who plays with the shortest straw each week. You have five-card support to the King, and Jack for that matter, nearly solidifying the suit. You have the King of diamonds, DOUBLETON for Christ's sake! And you have AKxx in clubs? What?!?! You need about 8 HCP from partner to lay down slam, something like ♠x ♥Axxxx ♦Axxxx ♣xx would do. So whay the heck bid 4♥ with that hand.
The scary part is that you are in doubt now about what to do after a 5♦ call. Partner is missing the two red Kings and the club Ace-King, but he commits to the 5-level? If partner has a sick hand that should never be opened, and then makes an implausibly insane 5♦ call, you likely will just make a small slam. If forced to guess, I'd take the push to the seven-level. Given room, I think I'll try a more mundane 6♣.