I have been commuting in the dark (20 miles round trip) with the Light & Motion Urban 300 five months. Bright, internal battery, decent run time for its size, compact, durable, water resistant, USB charging, great customer service. The 300 runs around $120 which I know is slightly above your limit. It's very bright for only having a 300 lumen rating, I guess the scientifically test the actual lumen output from their lights AND publishing them, might account for the actual lower rating. Their site has some cool beam tests.