I mean it's possible you'll end up with a quieter one, and it's possible to do some training to stop barking. BUT what if it doesn't work? Is this pup gonna land himself in a shelter or need to be rehomed? Is he gonna have to wear some sort of bark collar which punishes him for doing exactly what his breed has been hardwired to do for hundreds of years? The reason we have different breeds of dogs is so we can choose one that fits everything we want and NEED. In this case you need a quieter dog, hounds are not quiet. So you have a few options:
1)Get a Coonhound and hope it all works out, if not, something unfortunate will happen to you (eviction), the Coonhound(re-homed, shelter, bark collar), or both(evicted together).
2)Start researching other breeds, plenty of breeds are not known for their voices and I'm sure there are plenty you'd like that would fit in to your household.
3)Move into your own house or a rented house and then get a Coonhound. Obviously way easier said than done.
4)Adopt and adult dog from a rescue/shelter. Adult dogs (around 3 years) have their adult temperament. Preferably choose a dog who has been fostered, some dogs don't bark in the shelter but do in a home. So a foster should have seen the dogs true colors.
5)Try and find an adult Coonhound at a breeder's. It's possible they have one who doesn't make much noise, though I don't know if they'd be okay giving their dog to someone who's landlord will not allow a barking dog.
It's not that I think this WILL go south if you get a coonhound, but it is a possibility with a bad outcome for the dog. That said I've never really interacted with a Coonhound, only Bassets and a large hound mix down the street, and they bark and howl when they are excited (feeding time, leashes come out for a walk, they are playing), see someone outside, someone comes to the door, etc.