Boy the things you see on here.
I am always conscious about this when presenting (which isn't too often)
I have sinus issues as well, my nose is constantly dripping from different temperature changes, and if I don't blow it just migrates down, so ya I have to clear the throat.
I will purposely try and clear more through my nose and definitely muffle it.
I was recently at Bath & Body Works, because of the cold weather up here, I did have to clear a couple of times, matter a fact I did a little one while checking out. The cashier was letting me know something about product I bought, before I answered I cleared to make sure my voice sounded at least somewhat presentable, it didn't even startle her.
and I too think mine sounds masculine as well as my voice.
Good luck
Shelly