In RB I'm using the MME, not Asio. I don't use Windows for midi options.
I don't have any synth, etc. connected to the system. And the same files work in BIAB, and PowerTrax. Even though I cannot hear the right track, the monitor in the mixer (and/or next to master volume slider) for output shows left and right being played. The monitors in each track show tracks being being played left and right.
When I open that rendered file in Windows Media Player, it works fine.
If I render my file in RB to wave, it plays fine in BIAB, PT, WMP, etc.
Part of the "strangeness" is that it's been working for 4 years, was working fine one minute, then it stopped working.