Early days but I've got an Arduino Uno capturing Room Temperature, Lower & Top Plate Temperatures, RPM and Cylinder pressure from my Coffee Cup Stirling. The results are "Quite Interesting", perhaps due to faults in the engine, the sensors, my programming, and a flimsy understanding of thermodynamics.
This graph shows that the engine RPM fluctuates excessively. I think it means there are still some rough spots in the various bearings and sliding surfaces.

The cylinder pressures are much less sinusoidal than I expected. This may be because the pressure sensor is insensitive and/or the Arduino isn't fast enough. Depending on RPM I'm getting 20 to 50 pressure samples per revolution.

Next graph is the closest I could get to an Indicator diagram. It's an Open Office net graph showing cylinder pressure as it varies during a single rotation. The graph reads anti-clockwise. Power piston BDC is at sample number 1. This example shows pressure variations inside the displacer cylinder recorded during revolution 539 when the engine was turning at 81 rpm.
At 81 rpm the Arduino was fast enough to take 48 pressure readings during this particular revolution. Whilst a bug means the pressure is in "Dave Units" rather than kPa as intended, the shape and scale of the graph are believed to be correct.
At start, when the temperature difference between upper and lower plates is at a maximum, the net graph shows high pressure for about half a cycle. Later in the run, as in this example, high pressure is only available for just over a quarter of a rotation. I put this down to less heat being available for work because the upper plate has warmed up – the engine depends on the temperature difference between the lower plate (hot) and the upper plate (cold). Or perhaps something else is going on!

My first attempt to calculate the power of the engine from pressure data and power cylinder dimensions came up with just over 0.5W per stroke, but I spotted an error. A second attempt at applying the formula suggests about 8 mW per stroke but that feels too low. (When correct, the calculation reveals the power being developed inside the cylinder, which is much more than that available at the flywheel. Making a brake dynamometer to measure the actual output power to determine the efficiency of the engine will be another challenge!)
I have to admit that my mathematical skills are highly suspect. Never mind, perhaps tomorrow will bring enlightenment. It's very humbling when I remember that pioneers like Watt managed to understand this stuff from scratch.