The main problem you're going to have is that you probably lack the means to calibrate your setup(tell it that a given sound is XXX dB loud). Also, most non specialized mics will show low level noise no matter what(most are unreliable below 30dB).
But if you're just trying to get some idea of the SNR(between whatever recorded noise and signal), you can do that with any app on a cellphone or with any free "RTA"(real time analyzer) software.
I'm used to doing almost everything with REW(Room EQ Wizard) but I'm not sure I would recommend starting with that it's made to do many other stuff and does have a learning curve. while any random spectrum thingy can show you a ballpark magnitude for noise and another one when you send a test tone without you having to learn anything about anything.
AFAIK, with the exception of clear anomaly like really massive hearing impairment, your brain will simply adapt to whatever is the norm in your daily life. Only fairly rapid changes will feel weird instead of just being progressively accepted as the new reference by the brain. Say you tend to have a resting position where you tilt your head to the left a little. After a few weeks, your brain might just accept it as how looking straight sounds. Now you make a calibration and you carefully look straight for the center look angle, and if as soon as you relax in a chair you tilt to the left without thinking, chances are that the simulation will feel like the sound is off center. Not because it is, but because your usual orientation when looking at something isn't straight.
I probably took the weirdest example, but I like those ^_^, and it's a relatively rare but real thing. Some people end up trying to compensate an imbalance but they soon discover that using simple panning pot(making one channel louder) doesn't really remove the feeling they have. Only to find out by accident or because someone like myself proposed a weird example for the lolz, that what they need to feel centered audio is a tiny delay in one channel(most likely caused by some postural habit that the brain now calls centered).
My long winded point is, if you've had very different ear shapes for a long time, How they change sound is how you think natural well balanced sound is. Same with small to moderate hearing loss. We rapidly adapt if given the time. IMO, outside of what might count as impairment, I'm of the opinion that you should only care to simulate the sound as it's normally coming at your ear, and let your brain do what it's used to do.