Would there be any issues running multiple nodes on the same network, and different types of nodes on same network
What do you call an issue? If you use an IP address to log in or a different naming convention for each, it should be easy. It’s been a while, but umbrel.home0, 1, or 2 should work. It will take a little work.
Heck, I bet I’m wrong about this but I like the idea. 
No issues at all. I have 3 nodes on my network for different purposes.