350Mhz RF Remote. I know there is 315mhz and 433mhz.

I dont know. There is nothing in the FCC documents besides the engineers name and things

The back of the remote case does list
FCCID: IN2TX28 and IC: 3558A-TX28

Not sure what the IC is, but I kind of doubt it's what we want.

Edit:
I popped open a receiver module and found that the receiver has an IC. It's a PT4302-X

Then again, my other 433mhz has an IC too, so it probably wont tell us anything.