I having a hard time figuring out were you are camping that you need to get water from Bloodsucker Lake. You will only be half a mile or so from Lyons Creek, which will still have water, at least in some of the deeper pools.

Is Bloodsucker your final destination? If so, you might want to consider extending your hike a bit. Bloodsucker in only a couple of miles from the Lyons Lake trailhead, and Lake Sylvia is only another 1.5 miles or so--with wonderful water and fishing, too.

There is a big campground at Wright's Lake--that's only 2 miles in the other direction
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