Imo, no issue with running an auction with a BIN price, so long as a) it runs the full stated duration of time, and b) a randomly-selected interested buyer is chosen when more than one person wants the item at the BIN price (assuming nobody bids higher).
Putting a ceiling price on an auction can only provide good for the community, if done with those two conditions. Everybody still gets a fair shot, and the price is capped. Win-win.