thank you for trying to help me

 

I actually feel bad when I try to help a member and just cant?

 

that is very nice of you. I also realize you're the one who has helped me with my question about the 2.5 turbo fuel type a couple months ago! Anyways, it's just very frustrating that dealerships and garages never get to hear sounds. I've had multiple sounds, heat shield rattles, brakes somehow overheating, where you don't get to hear the noise through a 5 mins drive after a cold start... now that I think about it, the vibration I'm talking about is only around 32F, but also when the car gets a bit hotter. It doesn't happen right away after a cold start...

 

With that last bit of info I would have raise your Mazda on the lift with one of my Techs controlling the throttle while a couple of use listened under the Mazda. I always use 2 because human's each hear sounds differently so it easy to find the source of a mystery noise or vibration.
And if no one can pinpoint the sound I would switch lifts and use the drop lift so the suspension could hang free so the transmission could be placed in gear and run with the same inspection.

 

I might have forgotten to mention that it does happen when going over slightly bumpy roads. Not too bumpy, where it hits harder and everything sounds and feel normal. Just crasks on the road. That's where you feel and hear it.