Pour your drink into a different container. You can still camouflage your drink by pouring it into another, more benign container. Beer looks like apple juice—put it in a Mott's bottle. Red wine can and often does pass for fruit punch. Vodka and gin are visually indistinguishable from water.
Dresser drawers are a convenient place to hide alcohol in a way that's both hard to detect and easy to access. Most drawers have plenty of room for small bottles, which can be stashed between folded items, in socks or in back corners.