Car runs normal, while running down the road.

Have the alternator tested.

Failing generator. They develop huge voltage spikes due to their design, and those spikes can destroy the internal diodes and voltage regulator, and they can interfere with computer sensor signals. That can result in a variety of running symptoms. Diodes never short intermittently so to have an intermittent problem, either the regulator is quitting or there is one shorted diode out of the six. That will reduce the generator's maximum output current to exactly one third of its rated value, and that's not enough at idle. System voltage, (14.5 volts, in your case), can be normal with one bad diode, at higher rpm.

Have the generator professionally load-tested. If you find the most current it will deliver is around 30 - 40 amps, you will also find that "ripple" is very high. That will compound the voltage spike issue. Repeat failure of these generators is very common. To reduce that number, replace the battery at the same time unless it is less than about two years old. As they age, they lose their ability to dampen and absorb those spikes.