March 2014 Weddings

Late March Weather - gulf coast beaches - mid-to-upper 60's- too cool?

I'm planning a Texas Gulf Coast beach wedding....but I'm concerned about the weather in late March.  Based on what I've read, it looks like there is a wide range of temperatures depending on whether there's a warm front or a cold front, but average temperature is in the mid to upper 60's.  Is this too cold to be spending a weekend on the beach?  Obviously seems too cold to get in the water, which is fine, but just being on the beach????  I'm used to going to the beach when it's hot, not so much slightly warm....but what are you all's thoughts....?  Does a sunny 67 seem okay for beach weather or too cold?

Problem is officiant is not avaialble in April or May, and June may be too hot and crowded and is peak season with higher prices.  Our March date is AFTER the big Spring Break, FYI.
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