A bribe blinds the eyes of the wise. The operative word in your assertion is "felt." The Bible specifies that education is a church/family responsibility. The Bible nowhere specifies a legitimate role for the State in the area of education. Those are the facts.
Feelings are very pursuasive, however, when money is involved.
We did not base our decision on feelings whatsoever. We based it on an assessment of our particular children and home (strong), our particular school, our particular Christian worldview, and our (intellectual and spiritual) understanding of Scripture.
There are a whole host of things which are not specified in Scripture, and you are not qualified in any way to make a decision as to what God led us to do with regard to our children's education.
And what in the world does money have to do with anything I've said? It was totally irrelevant to our decision, as were our "feelings".
btw, our two oldest kids are both 5 point Calvinists 5 and 3 years after High School, which is interesting, because we are not. (I have trouble with the 'L').