Funny enough, the whole father-daughter-on-the-run plot kind lends itself to a TV series structure.
It is very possible the name McGee is a nod to Jack McGee.
Jack McGee | Hulk Wiki | Fandom powered by Wikia
In the tv-series David Banner was always on the run too in a similar way. Probably SK watched the series around the same time he wrote the book.
Taking the name Banner would be too obvious as it's the main character and so well-known, so that's why he might have gone with McGee instead.