Sharks are present this time of year but you'll need to get the bait out to deeper waters, 400 yards or so offshore.
This means that you'll need very specialized equipment. Such as 12 ought reels with gobs of line capacity. You'll need heavy action long rods among a huge assortment of terminal tackle. And most importantly, a lot of know how. Definitely not for beginners.
70-72 degrees seems to be the magic number for the surf to really turn on. That normally occurs in late May to early June and carries through October or early November. By early Nov. the cold fronts, accompanied by lots of wind, rough up the surf too much for much fishing.
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Mike
Buda/Port Aransas, TX