I suggest you try brightening the shade a bit by trimming up low hanging limbs and thinning out a few branches in the upper canopy. Some choices for live oak shade include mondo (monkeygrass), liriope, Aztec grass, Asian jasmine, Japanese Aralia (Fatsia japonica), Gold Dust Plant (Aucuba), cast iron plant, and possibly some shrimp plant would be among your better options.
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