I just picked up a Princeton Tec FRED, not super bright, but has pretty long advertised runtimes off of 3 AAA batteries. I haven't used it very much at all yet, but I have been using a Princeton Tec Remix MPLS for the past 5 years or so several times a month. It just started acting up and I need to send it back to P-Tec to get looked at.
There's several different rechargeable models out now.
Used to sell a shitload of headlamps working at REI for either climbers, cavers or runners. Where I was had a heavy runner market. The rechargeables tended to sell well and not come back as they were running every day. Black Diamond and Petzl both make good headlamps, just depends on the features you want. I've used Petzl since the Tikka's first came out back 15 years ago, but BD is also excellent.
I have run for years with a Princeton Tec Apex, since replaced by the Princeton Tec Apex Pro. It is one of the heavier/bulkier options out there, but for me at least, the battery box balances things out. It user CR123 batteries, but they seem to last a LONG time, especially in LED mode. And if you got rechargeable CR123s, it's more economical.