I have been rethinking the sliding table mounting point
"semi circular hooks that will rest on the bar for support"
A simpler idea would be to create a notch / groove /channel on the underside of the table top in which the horizontal bar would reside .
A tight fit of the horizontal bar in the channel is preferred and finally the bar will be retained in the channel by a strip of VELCRO running the length of the channel.
This would allow the table to remain on the horizontal bar mount during transit and should prove to be rattle free and yet fully detachable by removing the VELCRO strip.
Thanks for likes ... Otter , Annie O , 86Scotty