Dear Elinor,
Congratulations on your new turntable. It's an excellent choice and everybody seems to be more than happy with it.
I would suggest to look into Minus-K, SRA and HRS. I know that High Water Sound has used SRA and Minus-K at audio shows with great results. SRA has some sort of collaboration with TW-Acoustic, so I would feel confident that their products will perform well together. HRS platforms are ordered for a specific weight-range, which can be changed should you need to use the platform for another equipment. Minus-K offers state-of-the-art vibration control at an affordable price. Based on what I've read from their website, it seems to be one of the most efficient ways to approach vibration control.
Extra planning is needed if going with the all mount shelf alternative. Most cantilevering shelf-mounted structures under such heavy load will likely suffer from material fatigue over time. That means that all connections and all materials should be checked once in a while for wear and/or structural failure.
In a room built with with studs and sheet-rock, one has to take into a count that airborne energy becomes structural energy when playing at mid to high DBs. It's a well known fact in the US construction field that a sheet-rock wall needs sound insulation in order to prevent sound from traveling from one room into the other. The sound insulation between sheets won't prevent the wall from vibrating, but will prevent the sound from that vibration to go into an adjacent room. This type of construction is quite sensitive to changes in sound pressure, which will turn into vibrations. Therefore, in this particular case a wall-mounted shelf may do more harm than good.
Every type of wall structure will provide a different performance. If you have a concrete or masonry wall, then it's quite possible that a well conceived and executed wall shelf isolates well from mechanical vibrations in the room. But again, planning and execution are key for this to work successfully.
I've been using an HRS platform for about two years now and it works extremely well in my room. The other choice I seriously consider because it has superior technology, is the Minus-K BM-8 platform.
Regards,
iSanchez