I can't recommend anything other than what I opted for myself, as that is all I have tried, based on my own research etc. a couple of years ago.
I bought the Magicshine MJ-816. Also known as the Mickey Mouse I believe as it has two side lights that look like Mickey ears! I think it cost a little under a hundred at the time.
I can honestly say that this thing is brighter than some motorbike headlamps I have used in the 80's. On full whack, cars are dipping before rounding a corner because they think another car is coming, but not to worry, it actually dips itself as the beam would be too much for oncoming vehicles. You have the choice of pushing the button and holding it whilst the output reduces to around 5% (although this can take 2 or 3 seconds, so you need advance warning) or a couple of sharp pushes switches to the 'side' lights which have a wide beam, ideal for keeping sight of the road edge but not offending any motorists. This is what I choose to do, and have not had any problems.
It uses a rechargeable Li-ion pack, with a fuel gauge which lets you know when it's low. The only criticism would be the rubber 'o' ring fitting for the lamp body. They are fine for the switch and other light weight parts, but I ended up making a more substantial clamp fitting to ensure that the beam doesn't drop every time you hit a pothole. Other than that, I can't fault it. I can see everything in the road directly ahead of me like it's daylight, and the additional flat beam from the 'ears' gives great wide peripheral vision. Definitely worth a look in your price range.