With this kind of scenery, HDR is very often not really an option, because you didn't bring a tripod along. Also you often can't get to your subject at dusk or dawn, because you want to complete your hiking track.
For me, this approach to mitigate those issues works best:
- Always shoot in RAW Mode
- Enable any overexposure warning on your camera in review mode. E. g. on Canon Models, overexposed parts are blinking black.
- Avoid overexposing the highlights at any costs!
- Underexpose the shot to an extent that nothing in the highlights is lost. Sometimes a correction of -2 EV or more is necessary. Then bring it up to it's normal exposure in post-processing and use local corrections to recover detail in the highlights and the shadows
Digital Cameras, as opposed to analog ones, have many reserves in the shadows, but nearly none in the highlights. You can see that in the bright parts of your picture, the highlights are "white out", and even if you try to bring them down 2 EV or 3 EV, there is no detail to recover.
To avoid this, underexpose the shot enough so that the detail in the highlights is preserved. The shadows will get very dark, but it is at least possible to recover the details in the shadows as opposed to recovering overexposed highlights. Also you can use some Lightroom brushes or local correction in Photoshop to reduce the contrast between the shadows and the highlights and get details in both areas.