It depends on the community college as to what will transfer. From California community colleges to California public schools no problem - credits are designed to transfer.I think NY CC’s to the SUNY system is also relatively straightforward. But for other colleges (and the OP’s list was mostly privates, you’d have to ask at every college.)
As to the other question. I’m thinking top 50 college reach, top 100 probably match to high reach. Top 20 - forget about it. But transfer admission are another kettle of fish - I know nothing about the odds there.