At the crossroads

Playing at the local duplicate bridge club, you hold:
♠A K 3 ♥A K 9 5 4 ♦A K Q 6 3 ♣---.

You open a big club, and the auction proceeds:

West	North	East	South
		Pass	1♣
1♠	Dbl (1)	Pass	2♠
Pass	3♣	Pass	3♥
Pass	4♣	Pass	4♦
Pass	4♥	Pass	?

(1) 5 to 8 high-card points.

What now?