Typically, for a permanent/tenure track position, there has to be a national search advertised on websites, professional journals, etc. I would recommend looking at the following websites:
CELA
EDRA
ASLA
Most of the deadlines have already passed, but you never know if something will open up.
As for getting connected to universities – I would volunteer to sit in on studio reviews. It’s a great way to get to know the faculty.
Best of luck to you.