34 / 36 is very low by road bike standards, and should get you up just about anything.
People get very animated about the triple vs double vs compact question, but with modern shifters it really doesn’t make much difference.
For example, a compact set up to have a similar range to a traditional triple will have bigger jumps between gears, but with 10 speed is it really a problem? 10 speed 11-36 will probably give you similar jumps to 7 speed 11-24, which people used to survive perfectly well with not so long ago.
Similarly, I’ve never found the large jump between 50/34 a big deal in the days of STI shifters. Just give the right hand lever 2 or 3 clicks as you swap chainrings and you’re back where you started.
I regularly ride:
53/39 12-25 10 speed
53/39 12-28 7 speed
50/34 11-28 10 speed
and I can honestly say that in day-to-day riding, I barely notice the difference between any of them.