pig's wig
big wig
spare hair
One hink pink for Santa's cut facial hair would be Santa's sheared beard.
fair hair
stone bone
shag wag
hair care
blob snob
love glove
care bear
Thin inn is the hink pink for skinny hotel.
A hink pink for a giant mermaid could be "big wig." Hink pinks are typically rhyming pairs of words that describe something, and in this case, "big" refers to the giant aspect while "wig" playfully captures the idea of a mermaid's flowing hair.