I just finished that kit and it’s very noisy I wasn’t expecting much but there’s more noise then audio signal, well 50/50 I’d say It’s like a wind sound, even with no mic plugged in so I would assume it’s the output of the pre-amp that’s noisy. I can roll off the noise with an eq it’s exactly 1.8k by -3db and it’s gone. Also when I touch the bottom of the IC I get pops and crackles.
Check for obvious wiring mistakes.
Use a regulated supply.
Use shielded wiring.
Put the unit in a metal enclosure.
Use a pin-compatible, better spec op-amp (e.g. 5534)
I repeat: if it is pin-compatible with an 741 or 5534, it will most likely work.
I’m afraid I do not have the means nor the time to compare specs or to assist with modifications.