Crank the float down toward the seabed when you have power to spare. Let the float reel back out when you need that power back.
For extra credit, attach a whole series of reels to one winch, with clutches, so one winch can crank down as many floats as you have reels, one or two at a time. (Floats, pulleys, and reels are cheap, motor-generators expensive, so it pays to share.) Maybe, instead of a winch and clutches, the reels are driven with hydraulics.
Size the floats so the winch is a catalog item, say <1000-ton capacity. Use as many motor-generators on winches as you need for the MW you must generate. Use as many pulleys/floats as you need for the MWh you need to store.
The deeper the pulleys are, the more MWh each float can store. Keep adding floats until you have enough.