Don't like big corporations? Why do you think big government is better? Maybe small both is best. Bernie Sanders? Give me a break. Do you know how other countries provide college for free?
You can't have small both, I would have thought this was obvious - governments have to be a certain size to be able to effectively keep corporations of a particular size in check. It's pretty clear that in the United States (from an outside perspective) that several of the larger business interests are pretty hell bent on getting rid on the government agencies that keep them in check, especially environmental and safety regulations.
Governments at least in democratic nations have at least some accountability to citizens of that nation and periodic elections allow the removal of really unpopular politicians without bloodshed. I agree that there are dangers associated with big government but I don't see a workable solution short term that doesn't include them.
Free university or at least free tuition is more common than you think it would be, particularly in Europe and at least, Bernie Sanders has a tax plan that sort of adds up, the candidates on the republican side are so far from doing that, you could completely defund the military (which isn't going to happen) and still not make up the difference.