I would suggest you at least start with a typical Relay Module.
Its a low risk option so you won't have to troubleshoot a more high-tech design. And you may find you can wrap it in some sound deadening material and not have a noise issue.
Else you can later on add a solid state higher tech solution. But at that point you will have a working solution as a baseline.
Reed relays might work but be careful the reed switches in these relays are not very robust. The contacts can stick (actually weld closed) with not a lot of power. When working with electronics there are two criteria:
- the static requirements i.e. 100 ma or 300ma or whatever.
- the transient requirement, for instance what happens when you open the relay while the sound is still present. There will be a transient voltage generated that could possibly damage a reed switch.