Another way is to put them in a vacuum and fire electrons between them, and observe their deflection, or use a magnet to balance the force and calculate the field that way.
or use a fiber probe with a field-sensitive crystal (electrostrictive, or electrooptical) on one side and Mach-Zehnder interferometer (or optical I/Q demodulator) at the other side. This method is almost non-disturbing and useful for frequencies up to hundreds of GHz
The reason that I didn't recommend something like that is that I assumed that the measurement was for the purpose of demonstrating or convincing about the existence or strength of an electric field in a capacitor, without using the simple equation that describes it. Using a fiber probe with a field-sensitive crystal involves taking much more complicated technology on trust, and the results of more complicated equations than the simple equation for electric field in a capacitor.