This is not, imo, a 'good' 11 count.
I have no aces, only 2 kings.. this makes it a pass for me.
Thereafter, the auction is, as one would expect, easy.
P 1
♠ 2
♥ 4
♥
2
♥: near opener, usually only 5 hearts, since no weak 2 bid. 4
♥: no reason to expect slam opposite a passed hand, no reason not to bid game. and no reason to look beyond the obvious.
My rules for opening 10 or 11 counts: 3 controls, no rebid issues and a LTC of 7 or less. This hand meets 2 out of 3, but that isn't quite enough for me.
It is essential, if method allows/requires opening this hand, that partner appreciate this. Essential, but, on this hand, perhaps inadequate.
I think a lot of players overlook the problems that arise when the opening bid is permitted to be so light... look at the problem north has over 2
♦... the partnership can no longer realistically avoid a problem. 3
♣ is forced, with this slam potential.
Now S is screwed; I would prefer 3
♦ be a stall here, with other bids preserving their integrity, but I understand the use of 3
♥. Of course, opener would bid this way with xx KQJxxx AKxx Jx and be unable to move over 4
♥..since responder has never show a real heart raise, as opposed to a preference for 4
♥ over 3N once opener couldn't stop clubs or prefer spades.
Maybe, just maybe, responder could try 5
♥ over 3
♥. This, logically, could be used as a general slam try... because both partners know that the auction has timed out very poorly.... north could well hold a hand, as here, where simply knowing the number of keycards is of no help, and where his hand is too good for 4
♥. Furthermore, neither player has cue bid at all, so 5
♥ should not be asking for anything in particular.
5
♥ is a bad contract, but it is better than 6
♥ 
... and, I think, the best one can hope for after S opens (and uses 3
♥ as the OP said)
Note that using 3
♦ as a stall allows responder to bid 3
♥ and now, if opener is permitted to hold this cheese, responder has to accept a 4
♥ signoff...
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari
South deals, opps pass.
How should N/S bid?