あまりにも + [i-adj] あまりにも + [na-adj] + な/で あまりにも + [verb]
The result, if there is one, follows after て, ので or から. On its own, without a result, あまりにも is a complaint or a judgement.
All three can mean "so ... that" before a positive predicate, and each step adds force. あまりにも carries the most feeling. Only あまり also means "not very" with a negative.
Before a negative, あまりにも still means "far too": あまりにもべんきょう勉強しない is "studies far too little", not "doesn't study much".