Where do I find the game saves and crash logs. Also, where do I send them if I think the dev should look at them.

The saves are in MOD / saves. Not sure about the crashlog. Most people with troubles are coming to the Discord at https://discord.gg/BX4HyFv where they can talk with the Testers and the Dev directly.

I also do not know yet where the crashlog is.
However the nomal log (windows version) lives at
C:\Users\_YOUR_USER_NAME_\AppData\LocalLow\Jace Masula\Astrox Imperium\output_log.txt

Quite few games use the local low folder, actually i know only of one other, Rimworld.

Edit:
Actually, there does not seem to be _ANY_ crash log.
That is very very bad indeed.
How are we supposed to debug the game?