Later,
Stephen
Literally *millions* of mountain bikes shipped with 2.1" (54mm) tires on rims with internal widths of 13-19mm. You'll be just fine. There's a lot of overthinking going on in the bike rim and tire world these days.
On the other hand, back in the days of 17mm MTB rims you had to keep the pressure pretty high to keep the tire from "flopping" in turns. Switching from 17mm rims to 25mm rims on my 2.1" to 2.3" MTB tires was a revelation!
I rode a lot of those mountain bikes, but I don't think that what worked on them is what works with these tires.
I do think that the Switchback Hill and Rat Trap Pass benefit from a wider rim. A narrow rim (here I mean 23mm wide external, ~17mm internal, like the CR18 or A23) works, but only for very narrow pressure bands. If you run too low the tire feels like it wants to roll off of the rim in tight cornering. That was less of an issue on mountain bikes because the knobby tires didn't allow for as aggressive cornering as the stickier tread compound and slick tire profile of the Compass tires.
If you make the pressure too high the tires bounce in corners, which also reduces traction.
I have more experience on the RTP (for which there are also better rim options if you want to run rim brakes) but find that the difference between a 23mm (external) and 28mm (external) rim can be the difference between 20-30psi working and 27-30psi working. This is for my body/load/bike combo. That wider range is a lot nicer because it's the difference between checking tire pressure on every ride and doing it once a month or so.
With the wide tire pressure range what I do is pump it up until it feels write (with finger pressure) and ride it. If it is too bouncy I let a little air out. A month or two later when it feels wallowy (probably not a real word) I put some more air back in.
I run Sun Rhyno Lite rims for the RTP, and switched from the CR18. These are the same rim design, except that the CR18 is 23mm wide externally and the Rhyno Lite is 28mm wide externally.
My bike with Switchback Hill tires has WTB KOM i23 rims (around 30mm external width). It had an A23 front rim and I also found that too narrow.
Sorry, I don't know where to find wide 650B rims for rim brakes. Can you run disks or use 26"/559mm rims? There aren't that many rim brake bikes around that fit 50mm 650B tires with fenders, but the time these tires existed disk brakes were also pretty common. Compass tested the Switchback Hill tires on my "Gifford" which uses canti brakes and could fit them with no fenders, that bike has Synergy rims (23mm wide).
alex
I don't know what a PB is.
I also remembered the Velocity Atlas this morning, which is 20mm wide internally (25mm externally). It is a bit porky though:
http://www.velocityusa.com/product/rims/atlas-584
That made me check the Velocity website for other choices and they have the Cliffhanger at 25mm internally:
http://www.velocityusa.com/product/rims/cliffhanger-584
That might be the widest rim brake rim in 584mm. Kudos to Velocity for easily dividing their rims into rim brake and disk only.
alex