That has a small battery that for your desired 2 hours, isn’t even good for 250 lumens, which it can hold for only about 1.5 hours.
Skilhunt H04 is an old popular headlamp here. It’s lightweight; you can get the popular-around-here 519A emitter; it can probably do around 350 lumens for over 2 hours based of several reviews of the magnetic rechargeable version; and it’s way under your $70 budget, only $45 for the non-rechargeable version. I’d maybe avoid the rechargeable version because of some reviews that complain about the plastic holder uncomfortably digging into the forehead.
If you don’t mind doing some modifications, the ~$20 Sofirn D25L has good emitters (high CRI LH351D) and this generic (from a bunch of brands like Sofirn, Boruit, etc) D10/D25 is well liked on BLF. It’s not a regulated output, but will still have a decent output at 2 hours being an 18650 light. The main thing would be to make it stable for running. I have a similar “D10” that I found last spring in the snow, and I added an over-the-top strap to make it stable enough for running. There’s a thread here that has a 3D printed holders designs that will work with the light, with choice of over-the-top style or wide band (35mm to 40mm wide) around the head style that would be much more stable.