there is nothing stopping you from getting a divorce then .
You are doing all of the primary care and if it is out of the question for your baby to travel, then.. he doesnt plain and simple.
MAY be in the future?
are you happy with things this way?
This is how the relationship is just starting
I would whole heartedly suggest moving out.
Be seperated for a while. Learn to live with what YOU want. Relax into being a mom . Stop being so on edge about what to find on his computer next and just BE for a while.
Forget the anxiety and constant mind battle of what he is viewing, when and how often. Its not going to stop. So you stop.
This cycle continues if neither of you do anything. But dont put that expectation on to him, YOU take lead and YOU make the move. Break the cycle and you will see what you need.
A speration is not permanent, but may be the drastic change you both need. If he isnt willing to help with the child, he doesnt need to be in the house anyway