Barber Lake Road is quiet enough — and scenic enough — to be a fun ride, even if you're not on a road bike. Just know that if you're riding east to west you'll be pedaling almost constantly uphill, whereas going west to east is a consistent (and super-fun) downhill. It's a lot more satisfying to get the uphill out of the way at the start.
Along the way, you'll pass the turnoff for the Snowy Lake Lodge, now a private property but still on the National Register of Historic Places; and believe it or not, this is a great place to spot butterflies, like the hoary anglewing, as well.
If you feel comfortable going downhill fast on a busier road, you can even turn this into a loop by going up Barber Lake Road and down Snowy Range Road.