John,
I am not sure if this is the answer for you, but the reason you are not hearing the "blips" is that you might have a very slow throttle response setup on the Phoenix. This is not the governor gain parameter, but it limits how fast the ESC will allow the throttle to advance (or retreat)---primarily for the RC Helicopter guys where if the throttle is jammed fast, the gears could be stripped.
So try to let the throttle response parameter be set to a higher value.
As an aside, I really wish I could turn the "blips" off. As I have mentioned, I always use a "Talking Timer" that tells me exactly where I am in time. So when it tells me 1 minute is left, I know I better be in the middle of the clover (I always am!), and at 30s left the motor stops. Somewhere the blips do occur, but my throttle response is set to be slow, so I don't even hear it.
Even if you aren't always flying the pattern, having the time mark is even more important in my book. At least with the pattern everything is more or less determined, at least to the 5-10 s mark anyway. If you are fun flying, it is easy to lose track of where you are, so having the blips or the Taking TImer is an easy way to keep track of the time.