Let's take something like the Farm Bill. Maybe there is an aspect of it that a committee member strongly disagrees with (e.g. decreased support for conservation), but they still need the bill to make it through committee because time is getting short.
Could they introduce an amendment once the bill is on the Senate floor? Say, an amendment that increases support for conservation? If so, what would be the consequences of that? Would other members of the committee be angry at them for slowing down the process of the bill?