Red Camel is a brand of ladies' clothing, including swimsuits, which seems to be owned by the Belk Department store chain.
Because I'm pretty sure that when a girl goes shopping for swimwear, the image she most wants to be associated with is the camel.
Really, the word "camel" is generally associated with one of three things.
The unattractive animal
The brand of cigarettes
or
The dreaded "camel toe,"
None of which seem like images you'd want to invoke when trying to sell ladies' clothing, especially swimwear.
(if you're unfamiliar with the slang term "camel toe" do NOT do a Google image search.