Doesn’t this depend on where you ride?
Everything is subjective (I guess hence the choice), but I’d say it probably depends a lot more on your ability to spin the pedals quicker than it does on where you ride. I’ve ridden all sorts of places, Alps included, with a top gear of 36/11 and never found myself under geared.
My point is/was that an extra 2 teeth is really not going to make a huge difference. It’ll make the gearing all of about 5% taller. In reality, not very much.
If the OP really wants taller gearing, he should look at perhaps a 40 or 42T outer ring, this will at least give a usefully taller top gear.
The reality is though that learning to spin the pedals a bit faster will probably make more difference. Unless you’re riding lots of places with 30+ mph smooth downhills offroad.
I wasn’t being facetious, sorry if my original post sounded that way. Just trying to point out the reality before the OP goes and spends a load of money for a very minimal change.