again, chin height does not matter. the fact that it is often a guide is simply down to standard distribution.
you might get a board, boots and bindings ('those boot holders') second hand for $200 but you're not going to be able to find a reputable new setup for that price.
at your weight, you could ride anything between a 155 and a 165 depending on how you ride and what you plan to do with it. if you're an 'average' rider (if there is such a thing) and you want an all mountain board, you're looking at around a 159.
if $200 is your total budget, i'd suggest starting with used gear on craigslist.com.