SkyPuppy, believe me, you're making a mountain out of a molehill, here.
First: Your straightest shot doesn't even touch Houston Class B. Aim for KGLS as a waypoint and just stay south of Houston.
Second: Use flight following. You'll get handed off to fly right through the Class C at Lake Charles and Beaumont with no issue. They'll help keep you clear of any active MOAs you might blunder into, but if you look at the sectional there's pretty much a nice clear path along the coast all the way to your destination. (There is sometimes a sizeable TFR from the Corpus Naval Air Station to just offshore, so keep an eye out for that.) They'll also keep you clear of the parachute activity around RAS.
Third: Flying down the coastline is fun. I've flown several times from T41 to the Corpus Christi area, including RAS, CRP, and RKP. All have fuel; CRP and RKP have FBOs, but RAS has self-serve fuel and a pilot lounge and that's about it.
The flight you're considering is nothing to get stressed out over. If you're not comfortable using flight following, this will be a good flight to practice. ATC in these parts is pretty friendly.