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Nope. I think you suggested that before?
Actually, won't https://www.roomeqwizard.com/ do this? I could maybe run a sweep and pick the freq out
hippy-
You can use REQ to create a convolution IR from a frequency sweep. I've done it for 2 rooms and use Roons IR function to adjust the sound to that room. It's the best sound at the listening point that I've had so far.
If you don't have the mic yet you can use a db level meter on your phone to see where the loud spots in the sweep are. REW can also calculate based on room size and speaker position what your room modes are. You are unlikely to be able to treat them with only bass traps.
Definitely you will have improved the situation by having dense material on the shelves behind the listening position.
You are only trying to treat the room at the listening position, you will not be able to treat a domestic space at every position. If you build a studio space from a blank slate you can widen the neutral spot but it's still unlikely to be flat throughout the room.
Airhead
Have you tried using a frequency generator to identify the frequency? You should be able to hear it when it peaks.