Wadfishing options if you choose to leave your kayak at home.
The flat between the oil field caliche road and Boot Cove/Croaker Hole (highlighted in red) will either be dry or too shallow to hold fish. You could park north of Wilson's cut and wade north towards the area called Spanish Islands (highlighted in green). The bottom is pretty firm through the area.
You should be able to park a good way down on the south portion of B&R flats (highlighted in yellow)as the sand should be firm. This would give great access to wade fish the south shoreline and be protected from SE winds if they're kicking.
Ingleside on the Bay:
This small flat can be accessed by the road where it makes a hard right turn (highlighted in yellow). It'll be about chest deep with a grassy bottom, but there is harder bottoms towards Cook Islands. Nice little flat that I fish often for those quick trips from my kayak.
Deadman's Hole (aka Church Hole):
This is always a good wade fishing option as well. Really anywhere from Packery Channel north to Fish Pass. You could always drive down to the end of Fish Pass and wade south to what I refer to as the "Bulk Heads". There's also a road on the north side of Corpus Christi Pass which, depending on tides and rainfall, could lead all the way to Kate's Hole.
Although I prefer PINS in cooler months it does offer great year round wade fishing. The sand flats are about 6 inches and they drop off to 3-4 feet. Work this drop off south of the windsurfer's shack concentrating on casting to sand potholes in the grass. It's a $10 per vehicle entrance fee, but it's remote (no cell service) and tranquil.