The REI CTY 1.3 almost ticks all of your boxes, plus belt drive which I find great for winter commuting (less maintenance than a chain).
I say "almost" because only the front wheel is thru-axle. I'm not sure the Alfine IGH has a thru-axle option, but in any case the bolts allow a really solid connection to keep the belt tensioned properly.
$1350, which I think is a good price for what you get ("not too expensive" is subjective...).
Mine just finished it's first year as my year-round commuter. 5000 miles on the mean streets of Boston and I'm still really happy with it. I posted a review here a while back, you can hunt that down.
https://www.rei.com/product/122465/c...es-cty-13-bike