The term "Higgins boat" is actually a little deceptive. Andrew Jackson Higgins's company in Louisiana built all sorts of craft for the Navy during World War II, ranging from landing craft up to PT boats. When most authors use the term "Higgins boat," though, they seem to be referring to the LCVP (Landing Craft Vehicle Personnel).
Lindberg released an LCVP in either 1/32 or 1/35 scale back in the early sixties, and I believe it's still available. My recollection of the ones I built (when I was in junior high school or thereabouts) obviously are not entirely reliable, but I remember it as being a not -bad kit. The LCVP has a simple enough shape that it would be hard for a manufacturer to mess it up too much. I remember that it featured an electric motor (hidden inside the genuine engine housing), a hinged bow ramp (which operated when you pulled a string that came up through a hole in the well deck), and a generous assortment of sailors and marines (pretty crude by modern standards, but not bad for the day). I remember putting a Monogram jeep in my LCVP and showing it off to my father, who commanded such boats during the war.
I haven't examined one of these kits closely for many years; I imagine if I did I'd see all sorts of defects that didn't bother me at that age. But I think I've seen it for sale in the stores fairly recently. I suspect it would make a decent basis for a serious scale model - and the LCVP is a simple enough subject that improving it wouldn't be an enormous project.
I believe another, limited-run French company produced an LCVP recently; it got a decidedly mixed review in FSM. Whether that kit would be a better basis for serious modeling than the Lindberg offering I don't know - but I suspect the Lindberg one would be a good bit cheaper.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.