To allow the table to be swung, you could attach the threaded rod to a collar around the pillar underneath the table. This also prevents an accidental swing of the table from twisting up any mechanism attached directly to it (table unlocked, walking past and catching on something, pulling the table etc.). I've also found that swinging the table is useful when clamping stuff to the table to be able to get the slots in convenient places.
I'd go with a linear actuator. Almost any will be powerful enough, they're cheap and readily available. If you need full travel, look at running a wire or chain from the base, over a pulley on top of the actuator, then down to the table. Doubles the throw, though halves the power. It's how most forklifts work.