The issue with singlespeeding and knees is just that it's hard on your knees if you don't build up to it and just suddenly start mashing hard gears when you're only used to spinning. Standing up for the climbs and pulling with my hamstrings - I think it's helped my knees, if anything. It sounds like your route doesn't have that much climbing anyway, so I'd think it's fine.
"Life should not be a journey to the grave with the intention of arriving safely in a pretty and well preserved body, but rather to skid in broadside, thoroughly used up, totally worn out, and loudly proclaiming, "Wow, what a Ride!"
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