Chung Tai Chan, one of Taiwan's Four Heavenly Kings (a name given to institutions pioneering different forms of Buddhism), is a relatively traditional Zen/Chan monastery, with branches all over the US and Australia. Please take a look at this link: http://www.ctworld.org/english-96/html/a8branches.htm
They have Seven-Day Retreat programs that you can take in total silence (quite similar to a Vipassana retreat, I heard) and you can spend prolonged periods of time as a lay volunteer following the monastic system.
And no, most legitimate Zen/Chan monasteries with real monastics shouldn't charge terribly expensive fees; they would, at most, ask you to pay for food, lodging and facilities, but would never rip you off for profit. One reason why I am quite weary of American and Western Zen teachers.