Straw break camels' backs all the time but it's unlikely that you're going to see a drastic swing in financing if you start/stop and start in June vs just going with the flow. Obviously there's changes to prime rates that can have an impact if you delay but this is so speculative and assumptions built in that no one knows what will happen even though everyone guesses.

The smartest play almost always remains to take your time shopping and buy when your need is high but without being rushed. Look for a deal you can't refuse to hit you in the face but don't go rushing out.