No such person exists. One cannot be conservative and disregard the Constitution and the very idea of natural rights - it is an oxymoron.
It just like being a Neoconservative - a "false" conservative. Only for the weak-minded and immoral.
"In the beginning of a change the patriot is a scarce man, and brave, and hated and scorned. When his cause succeeds, the timid join him, for then it costs nothing to be a patriot."--Mark Twain