Card Combination

There is only one (immediate) outside entry to dummy, and I start in my hand.

What's the best way to tackle this? Obviously, the balancing double may be a clue - I expect west to have longer hearts, but was unsure whether to expect east to have the better hand or not.

I crossed to dummy, and led the queen. When the ten appeared from RHO, I ducked. When the king won, I could clear the suit with the ace, 8 covered by the J9.

If RHO can be expected to hold the balance of power, then this seems ok. If, in a balancing situation, the points may be evenly distributed, but I expect short hearts on my right, maybe low to the Q is right?