I've never heard a recommendation from a Cummins spokesman but 250* is probably not hot enough to do a lot of good . . . but I'm only guessing, I don't really know. My guess is if you can keep EGT above 300* it would be better and I only say that because 300* to 350* is generally considered low enough for shutdown after driving.
My '01 had both and exhaust brake and an aftermarket fast idle kit and a set of gauges. I found that the fast idle alone wouldn't do much for keeping EGT high enough for comfortable long idle periods. The exhaust brake could be manually activated and it would keep EGT up around 350* to 400*. I always activated the exhaust brake when it was cold and I needed compartment heat for long idle periods.
With the Gen III HPCR engines the MOPAR/Jacobs exhaust brake is computer controlled so the driver can't activate it at will. 6. 7 engines use the turbo for exhaust brake and it is also computer controlled. The ECM activates the exhaust brake for warmup and I think it will cycle if coolant temp falls below a set temperature. The ECM will also activate the fast idle when ambient temps are below freezing but once engine coolant reaches a certain set level during warmup I don't know if the fast idle will be cycled again. It probably is in artic cold temps.
I guess all I can really say with some certainty is that if you have an exhaust brake on a Gen II Ram and want to idle the engine overnight, activate the exhaust brake. It will keep EGT up.