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This is a very difficult case, it sounds as if the Father is resentful of the fact you have filed for CSA payments, this is what you are legally entitled to for you child.
If he wants to be involved in your child life this should not effect him wanting to see her. If you think it is in your child's best interests to file for full custody you should do it. What is best for her is what counts.
Even if you do get full custody and he decides he wants to see her then the doors can be opened by you if you feel it is in her best interests to develop a relationship with him.
The ball is really in his court, as he has blocked your number it is really down to him to choose to get in contact, perhaps he has done this because he is angry and will see reason once he has calmed down. Your child is what is important and it sounds like you are putting her interests first and should continue to do so.