In May 1978, the Leader ran this aerial of the new mall opening just down the road from the South Belt. Baybrook's arrival put Almeda Mall on notice that they were in for some stiff competition.
July 26, 1978 the Galveston Daily News ran a large spread covering the opening. The following photos are pulled from microfilm (I would guess) and are therefore pretty poor quality, but they are all we have for the moment.
a year later, with Hurricane Allen's approach, the Leader ran a photo of an empty mall parking lot at Baybrook
Historic Images had a couple of photographs from the Chronicle for sale on ebay, including this entrance photo (compared to the microfilm above, actual detail!)
A piece on its first Christmas season:
And from the Macy's opening in 1985: