Never used Lifestraw, but my impression is that they aren't very fast for obtaining water (like Wiff said).
It would probably work up to Trail Camp since there should be reliable water sources all along the trail up to there, but after that, you'd need to carry 2-3 liters or so for the trip up and back.
I used a Steripen last year, but this year I switched to a Sawyer Mini filter that is installed inline with my Camelbak tube, so I can fill up the Camelbak quickly and not have to wait for the steripen to purify water in 1 liter increments.
That is also very late in the year, so be mindful of storms.
