I'd recommend a Zebralight one (I like the H600Fc), as they're small, light, and much brighter than most headlamps you'll find. I've also had good luck with Armytek (Wizard Pro Nichia), though people say their reliability is lower.

I'm a long-distance hiker, and this is the one I recommend: the NiteCore NU25 is super light (you can make it lighter with the minimalist strap option), is 360 lumens bright, has 3 LEDs including a red one, and is USB rechargeable. https://www.litesmith.com/nitecore-nu25-triple-output-usb-re...

not OP, but I'd recommend Black Diamond or Petzl. I use the Black Diamond Spot 350. Three AAA batteries, 3oz, and it has a button lockout so it doesn't get activated when packed or stored away.