Also, remember to consider the weather/wind forecast as well as currents.
On the West Coast (BC & Alaska) we find that the anchorages aren't too busy, but still sometimes you get somewhere, there's already a few at anchor and you have to just plop it there for the night.
sailingdog is right about talking to other boaters and considering the tide
DwayneSpeer comments rightly on chain but it also depends on your anchor. On Mad Dog Voyager we have a 45lb Manson Supreme with 200' of 5/16 chain. It's a lot of weight in the bow but we've never dragged once in the last three years. Your anchor and chain have an affect on your swing, but also how much scope you need. A test of anchors found that the Manson Supreme, if set at a 5:1 scope, could be pulled in and has almost the same holding power at 3:1. We regularly don't rely on a 3:1 but in a tight anchorage, it's nice.
Also, I find that our anchoring style changes and evolves over time. Many times, providing there are no crazy wind forecasts, we will set our anchor and pull towards shore to set it. Even if a wind pushes us the other way, I sleep better knowing that chances are if the winds shift (which happens lots in Alaska) we're most likely not drifting or dragging towards shore.
As sailingdog says, if you're concerned anchor a little further away until you're really comfortable. I'd rather hop in the dingy to do my visiting than to swing over once the spreaders are tangled together...