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This is the S curve I was referring to...
20" should look fine... at touch of superelevation will help things look nice as well. I work up to about five layers of masking tape on the main line. Branch lines, like the one described in the next paragraph, don't get that treatment.I have one 's' curve and I simply let XTrackCAD do the heavy lifting for me. It is a 20" radius, into an easement, about 1.7" of straight, easement out the other side into a 29" radius. I designed and planned it to run body mount 89's next to 40' cars. I laid it out on a table prior to committing to the plan to ensure things would work. Thus far, the only problems I've had are the very light Kato 70 ton hoppers next to +85' cars. Other short cars - both body mount and truck mount - haven't had any notable problems.
I would think 20" would be fine (in HO scale that would be 36.8" radius).
But I did want to ask, looking at the curves in question along the top of your plan, there are long stretches of straight track come in and out of that "S". Couldn't you get rid of some of that dead-straight track and make broad sweeping curves in there, which should allow you to flatten out your 20" "S" into much broader radii? Maybe you want to preserve the look of those parallel straight tracks in the passing siding, but I think they'd look just as nice if they were curved.
Ed, ditch the sectional track in your plans. Go with flex, so you can plan easements properly--you may otherwise wind up with some nasty surprises when it comes time to nail down the track geometry.