Hi Dave,
Sorry I took a while to get back to you. Your suggestions aren't too basic, I am new at this so checking one more time doesn't hurt. I am using the dump file posted on the tiny whoop kit product page, and the settings match what you describe here. I suspect there is an issue with the power supply on the board. The gyro and accellerometer seem to function correctly when the board is only powered by USB. It is only when I connect the battery that the issues come up. The order in which things are connected is a factor. If I plug the USB cable in first, then connect the battery, I am able to run the motors using both the RC controller and the BetaFlight GUI. It is when I connect the battery first that the issues pop up.
That said, I received the replacement controller board today. I installed it and hooked everything back up, and it flies nicely! Thanks for your help and patience.