a small form factor long range throw while being insanely bright.
working with the price range given. It seems to me that you could put together a light for that price, and of course a better one in it's category if you shell out a little bit more.
I think that you should decide whether you want to go LED or incandescent.
This way you know the compromise of runtime and "brightness" that you will ultimately face. as walking around night by night, the battery source will later become important.
here are 2 ideas for a practical mag for your situation.. you'll discover prices later. but LEDs would give you longer runtimes compared to incans.
LED M*g2c/2d/3d with single, tri, quad and up led formations, lumens will range from 140 - 1200 .. somewhat relative to price, but these will give you a longer runtime than an incan inbetween charges
INCANDESCENT M*g2c with lithium ion batteries and philips 5761 bulb. someone correct me if i am wrong but about >700 lumens 1hr plus.
-PRICE is right ? i say given your budget, double it and see what is out there and compare that to your initial choice. a light to me, is more of an investment, and with 100 or 200. paying a little more or double, would amaze you so much to even regret paying the first price you thought of..
just don't have affairs with your lights, women don't like when they get less attention...