Playing a break

Let me tell a story of how I ended up playing in a sub-optimal fit at the 5 level. I say fit but I mean break. One of the opponents had as many trumps as my partner and I combined.
Here's my hand and the auction:

♠	Q 5 4 3
♥	A 9 3
♦	J T
♣	Q T 7 6

North	East	South	West
1♣	1♦	1♠	2♦
3♦	Pass	3♥	Pass
4♣	Pass	5♣	5♦
5♥	Pass	Pass	Pass

That's me sitting South. Here are some insights into what I thought was going on:

• 3♦ asks for a diamond stop which I sure don't have.
• Maybe if I bid 3♥ we can play in a Moysian 4♥ or 4♠.
• 5♥ thoroughly confuses me.

Some conflicting insights from my partner:

• 3♦ is a cue raise in spades, I'd double if I wanted a stop.
• 3♥ cue, 4♣ cue, 5♣ must be a singleton
• 5♥ another cue on the way to 5♠

Here comes the layout:

	♠ K J 8 7 ♥ K 6 ♦ 8 ♣ A K J 4 3 2
♠ A T 9 6 ♥ Q T 8 5 4 ♦ 9 6 4 3 ♣ -		♠ 2 ♥ J 7 2 ♦ A K Q 7 5 2 ♣ 9 8 5
	♠ Q 5 4 3 ♥ A 9 3 ♦ J T ♣ Q T 7 6

When the phrase "bid to the level of the fit" was coined it wasn't meant to mean "if you have a 5 card fit play at the 5 level". Yet here I am. I think we can forgive the defense for not extracting the maximum value here but -250 did score better than some who were in 5♠x.