64 degree wedge - waste of time?

It's pretty common for me to at our place to be faced with shots directly over a greenside bunker. I use my 60 degree wedge, and although I'm not too bad at judging the shot so that it just clears the bunker, the normal outcome is that is will run on well past the flag, sometimes even off the other side of the green if it's quite a narrow one.

I'm throwing the ball up in the air a decent height, but can't get it to check and stop quick enough.

Wondering if a 64 degree wedge might help me here? AG do a cheap Fazer one at £30, tempted to give it a go.

Or should I be modifying my technique to make the ball stop sooner?

(Don't have a problem with bunker shots, use my 60 and can get a reasonable result in terms of getting close to the pin)