It looks like people on non-immigrant work visas like H-1B and their kids are not eligible for Massachusetts residency for college tuition purposes, according to https://webcdn.worcester.edu/wp-content/uploads/2022/03/Tuition-Residency-Classification.pdf .
A $60k per year budget still leaves a lot of options, even if you have to pay non-resident tuition at every state university including those in Massachusetts. However, for colleges with higher list prices, check whether they offer sufficient financial aid to international students if they classify you as such (it is likely that most define those on work visas and dependents of those on work visas as international students).