Will your lights run for 2 hours on the 356 lumen setting? One solution might be to mount one of the lights on your helmet. A somewhat less-powerful light can be effective if you can point it exactly where you need to see. In that scenario, running one on the bars at 356 lumens and one on your helmet at the same setting might be enough. Or maybe you could get a third light for your helmet, or move one to your helmet and buy one longer-runtime light for bars.

Personally, I use an honest 500-lumen light on my bars and 180 lumens on my helmet for my night commute, and I find that's enough for me (but everyone's situation is different, of course). In my case, I'm using the helmet light more as a "be seen" light. However, I've occasionally put the helmet light on high (400 lumens) at night because my other battery died, and that alone was enough for me to see the road. I limit my max speed at night to about 22 mph. My night vision is mediocre.