My current partnership uses the gadget Ken suggested, 3♦ showing hearts... for us it is invitational or a strong jumpshift.. but this is not a hand for the gadget.
As for the bidding: 1N obvious, 3♠ lunatic, and pass of 3♠ clear altho unpleasant.
While a magic hand may make 4♠ and many hands will make 4♥, on some of the ones on which neither makes, we will get doubled and it may be bloody. This is quite different from situations in which our decision is to bid game or pass, after finding a playable denomination. Yes, pass may miss game, but so what?
As for BART, if my partner bid 2♣ (aas he should) I would bid 2♦. Partner HAS to bid 2♥ with his hand... any other call denies 2=3 hearts. Now, opposite at least 2 card support, but with only 8 hcp and a complete misfit... zero spades and our diamond strength is too slow to be much help if he has, for example, 5=3=2=3 or 5=2=2=4... pass is probably best but I might choose 3♥.. especially if playing the above 3♦ gadget... unfortunately that partnership doesn't play BART (altho I'm working on him

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