If they are doing fidelity points it ought to cost you one or two, probably no more. I've seen a Red Reinhardt wing fly and it flew very well. There is also the Fierce Arrow, Fierce Arrow 400, and, the Mackey Monster, all classic legal and with landing gear.
I got my Tom Morris classic legal book out. There is a neat 1/2A, Draggin', MAN 5608; There is a Reaction, basically a Reactor with a single wheel gear, Aeromodeller Annual 1956. It is smaller, @ 30 in wingspan.
Adding a landing gear is specifically allowed, with certain restrictions in PAMPA OTS. but nothing about it in the Classic rules, I think.