A caution on something rgscpat mentioned:
Copano Bay (and most of the many other smaller bays around CC area)-- they all have shallow water,
oyster reefs, shoals of every type, platforms, and pipes/cables on the bottom, excluding most of these places from anything but center console
fishing boats (and many of the places are only suitable for very
shallow draft 'flats boats', ~4-12" draft).
Copano Bay would be off limits anyway due to the Hwy 35 causeway, IIRC, the air draft/bridge clearance is quite low, doubt you can even get a
Hobie Cat under it.
Another (major) caution:
ICW
passage under the Hwy 361 bridge at Aransas Pass is fairly low (~44/8 feet, water level dependent). Depending on your air draft, you may find it advisable to take the long way around it.
That means if northbound in the ICW out of CC Bay, at the Ingleside intersection you hang a right at the CC Ship Channel and proceed up to Port Aransas, then left, left, down the Aransas Pass channel back to the ICW. If southbound in the ICW (from Rockport, etc), it's a left just
before the bridge, into the Aransas Pass channel to Port A, right, right into the CC Ship Channel.
The JFK Causeway, Flour Bluff/CC to North Padre Island (SPID/358), will accommodate almost anything under it; but don't enter the unmarked waters adjacent to the ICW near to it, many submerged hazards/pilings.
There are a few other very low bridges in the area, impassable to anything larger than a Sunfish (EG: Rockport's Little Bay north channel, Packery Channel), study your charts.
Corpus Christi Bay does have a few shoal areas and platforms (tougher at night) to avoid, Aransas Bay even more of them.
Look at the charts anywhere in this area. You do have towing
insurance? But don't trust them (towers) with your stuck sailboat without close supervision, they're more used to CC fishing
boats.
The ICW down to Port Mansfield, Port Isabel, and South Padre Island is a straight shot, but narrow with barge traffic, and much of it is shoal just out of the channel.
The Port Mansfield Pass/Jetties to the Gulf has had shoaling problems in the past (never a big
commercial port, even for shrimpers, droga gofasts another story...heheh).
And don't even think about going into the Corpus Christi Harbor area under the Hwy 181 Harbor Bridge (near the USS Lexington, CV-16), the Coasties and others will be on you in a flash with their .50cals at the ready

.