Sounds like quite a process! Shows a lot of dedication on your part and honestly I had to read that a few times to basically understand what you are saying lol. This may be a dumb question but why take 10 3 minute exposures vs longer intervals? Too much light? Stars will be blurry?
The stars start to trail and you can see (even in this image) the stars are ovals and not round. I have an autoguider which uses a small webcam type camera and a small finder scope to lock onto a star with a computer program. That assists the mounts regular tracking for higher accuracy but was inoperative due to dew forming on the finderscope lens. With the autoguider I can get up to 20 min exposures but usually stop at 10min since the extra stop isn't really worth it when a new exposure could be started and finished in that time. I'm still a novice so my explanations may be missing things. But it's fun and combines photography and astronomy, two great hobbies.