In my opinion, you have selected the best place to try and fish. POC is a true fishing town, although it can get crowded on a summer weekend, it is still not as crowded as PA/Rockport. There is also a variety of fishing there also.
Right off the ICW there are several inlets to the bays for some great shallow water fishing. The problem is, if you don't know where you are going, it can get shallow very fast. I would definately get someone to come with you that knows the back bays, or you might get stuck on a sand bar.
I have a 21' bay stealth, and I fish the jetties or some of the near by rigs. I would second what landpirate said about the conditions at the jetties. It can get very nasty at the end of the jetty, so take caution when going through it. Typically about a 1/4 mile past the end of the jetty, what you see is what you will get for the rest of your ride.
I like to anchor around the end of the south jetty and fish with shrimp, croakers, mullet or sardines. I always keep one of my big poles rigged with a ballon as a float with a sardine or mullet. You can catch some big jacks, red drum and sharks at the end of the jetties.
The other option, if the seas are good, is to head to the Rig that you can see in the distance. It is a 4 platform rig and holds a lot of fish. You can generally limit on kings, sometimes catch cobia, big drum, big sharks and bottom fish for smaller snapper. Generally the snapper at this rig are right at the size limit, and I believe that is because of the fishing pressure. If you get adventurous and have a buddy boat, there are some great rigs farther out that hold much bigger snapper and cobia, since they don't get fished much.
All in all a great place to fish, as always stay safe and have fun.
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"The sure way to get a bite while fishing is to talk about changing spots"