IDK if I can find any keyboard that can fulfill all the requirements, but linear switches with o-rings or landing pads are usually (one of) the most quiet when it comes to Cherry type switches.
Corsair has the Cherry MX silent switches but not sure if it's available in a TKL format.
There are a few Magicforce keyboards that are a 65% layout with a aluminum back-plate and can go for as low as 40 USD.
If you want to prioritize silent, then there are Matias silent keyboards that are noticeably quieter than cherry switches.
Ducky Shine mini
V60 with matias switches