50dBA is incredibly noisy for a fan.
I also like to keep my fans to below or near 20dBA if possible.
If you look at the Weller datasheet, it says the fan does ~75 m3/h
The incredibly noisy Fulltech fan you link to does 175 m3/h, which is quite a bit more, but even slowing it down to something equivalent will not net you anything bearable.
Now, looking at properly low-noise fans, the Noctua NF-A14 ULN can do 80 m3/h (about as much as the Weller) at 11.9dbA, which is basically inaudible.
Without going to the Noctua range, which is the golden standard in quiet fans, you can find PC fans of 120-140mm diameter that will push as much airflow as the Weller extractor at <20 dBA, where most of the noise will come from the filter air flow impedance, not the fan.