A ring of points instead of a block
Instead of mass, geometry: several anchors arranged in a ring around the axis of the tower. The overturning moment becomes a pair of forces — tension on the windward anchors, compression on the leeward ones — and each screw works in the direction where it performs best.
Tension is exactly what a screw foundation can take and a footing simply resting in the ground cannot: the helix engages the soil above it instead of just pressing down on it.