If you have a layout of your equipment and furniture that you will be using it would be a big help in determining placement of minimal support for your added floor.
Don't forget to use T&G ply & glue the joints with something like PL400.
Instead of mass loaded vinyl try to find the heaviest cheapest vinyl flooring on sale(sized to fit room as one piece) and pick up the heaviest "used" foam u/l from a flooring contractor(it normally just goes in the garbage).
Glue the foam to the floor and lay the vinyl over it-gluing the vinyl only to the walls all around to prevent leakage. Relaxed vinyl is vastly more effective.
A layer of vinyl directly on the floor beneath the u/l would be an excellent economical improvement as well.
I will be very interested to follow your endeavour.(I would not recommend lifting your original floor, not worth it, but highly recommend you eliminate any squeaks before you start-and if I were doing it I would rescrew the original floor as a first step using 1&3/4 inch deck screws. Rattles would be very annoying. If the result is not quite adaquate the next step would be to work on the ceiling below. Cheers. Pete