Welcome to the board!
As you've found, the distribution of all but the biggest brands is so hit-or-miss that making any specific recommendation will be difficult. However, I would add Weinstock's "Contour," a very slightly sweet (far drier than the Beringer you had) wine. However, any reputable wine shop would be able to tell you if any of the chenin blancs they have are dry. If you're on your own, one clue might be the alcohol percentage listed on the bottle. If it's less than 12.5%, the wine is almost certainly semi-sweet to sweet. The Beringer, for example. is 12.5% alcohol and still pretty sweet. My other suggestion would be to look for chenin blancs that don't carry the unspecific "California" appellation, but rather someplace specific like "Dry Creek" or "Napa Valley."
Good luck, and if you don't find anything, you might consider a sauvignon blanc, pinot gris, or pinot blanc from someplace cool like Mendocino County. They are likely to be dry, and somewhat similar in style.