The Sturmey-Archer X-RF8 model IHSFXDCSAA1 uses a 155mm long axle and has a factory OLD of 116mm. If you gently discussed acceptance of this hub with the pictured frame, I doubt you'd have to do any cold setting.
HTH,
TCS
Right you are, and it comes in 28 spoke drilling too, so it's a good fit for a 20" wheel.