i got 22-32-44 now with an 11:32. same deal for me (started a thread
on this a week or so ago....), hardly ever use the big ring, also want a
smaller gear for long long long long climbs while touring.

you want to lower your big gears some, but not TOOOOO much, which
is what your 34:11 would be. you'll spin out on the flats. aren't
those 2x 34's designed to work with 12:42 cassettes?

go with a mountain/trekking triple.....22-32-42 paired with 11:34.
you should be able to find a triple for less than half the cost of that
other chainring, perhaps even cheaper. if you find still too high, you
can replace outer ring with a 40.