> you can do first 2 years at a community college for no more than $2k/year
I'm not sure which community colleges you are going to. When my wife went to CUNY BMCC it was on the order of ~$2400/semester, so roughly $4800/year. Still not too unreasonable, but more than twice what you were saying.
Granted, this is NYC, not known for being super cheap, but I didn't think that CUNY was considered absurdly expensive either. Upon checking, the local community college where I grew up (the Orlando area) is about $1500/semester, so about $3000 a year, assuming you take summers off [2].
[1] https://www.bmcc.cuny.edu/students/bursar/tuition-and-fees/
[2] https://net1.valenciacollege.edu/future-students/financial-a...