Reddit mentions of KB Electronics 8811012 Solid State Variable Speed AC Electric Motor Control, 5.0 Max amp, 115V, # K177-1005

People will be able to chime in on specific fans but a generic trick with fans to lower the noise is to just run them at a lower voltage.

For 12 volt fans you can pick up a lm2596 buck converter module and dial in the voltage taking fan noise and temperature in to account. They are so cheap that you should buy more than one (they are so cheap because they use a counterfeit chip. I get them for free from Texas Instruments as engineering samples and the price per 10,000 is more expensive direct from TI just for the lm2596 chip itself rather than the whole eBay module in units of one).

https://www.ebay.com/sch/i.html?_from=R40&_trksid=m570.l1313&_nkw=lm2596&_sacat=0

For smaller AC motors/fans you can just use a light dimmer to adjust the speed. Special dimmers are made for this specific purpose (inductive loads).

https://www.amazon.com/KB-Electronics-8811012-Variable-K177-1005/dp/B000F9DAL2/ref=pd_lpo_vtph_60_bs_t_2?_encoding=UTF8&psc=1&refRID=3FG45AKA29Y851BKQ8G4

Also, mechanic isolation of the fan from the bucket/tub will help with noise. Foam rubber tape can be used.

yah you can still buy brand new fan speed controllers that look basically the same

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https://www.amazon.com/KB-Electronics-8811012-Variable-K177-1005/dp/B000F9DAL2/ref=sr_1_8?crid=D14OZQ2Y9WZO&keywords=fan+speed+controller&qid=1571974906&sprefix=fan+speed%2Caps%2C162&sr=8-8

Check this out at Amazon.com
KB Electronics 8811012 Solid State Variable Speed AC Electric Motor Control, 5.0 Max amp, 115V, # K177-1005 https://www.amazon.com/dp/B000F9DAL2/ref=cm_sw_r_sms_apa_i_AVGODbJV6B4AY

This is what they are referring to:

https://www.amazon.com/KB-Electronics-8811012-Variable-K177-1005/dp/B000F9DAL2

Your way it will run at full speed all the time, and be extremely noisy. The switch will allow you to control it so it removes the fumes without deafening you at the same time.