Another perspective on this green...I wonder if you may regret it if yor marriage ends.
Thinking about this from your Dh's point of view his difficulties with expressing emotion are in a way as valid as your need to share and receive affection. We all have our own issues for a variety of reasons.
I think that maybe for your DH his way of expressing emotion and love is by what he does for you. He may feel the fact that he is committed to you and your marriage works hard to provide for you is a good father and has been supportive throughout your issues, is a demonstration of his love and therefore feels frustrated and helpless that this does not seem enough.
I know that at times this does not seem enough for you, but I just wonder if you worked together and recognised the differences in your needs and accepted them but each worked to tyr to meet the other in some way that your marriage could be saved?
If you could start again you probably feel that you would choose a man more emotionally opne, but any man/person would bring their own unique set of issues to a marriage. Your emotionally ideal man, may have been a disinterested father etc.
You chose this man, and have a family with him. I'm not saying that in anyway everyone should stay together for the children BUT from what you've said I wonder that if overall, and in the longer term, your stasisfaction of having a happy family and togther bringing up your boys will bring you more happiness than a split family, even if aftre the split you do meet a man who meets your emotional needs.
Maybe more solution focused counseling would be beneficial? You both now seem to know the problem: You are emotionally incompatible. BUT how can you adress this to the extent that the good things you do have can be saved? Your counseeling sessions could give you targets/agreements (Iknow not very romantic) along the lines of , he will agree to inceae the physical affection level in some way, and you will agree to show him that you recognise what he does bring to the marriage in some way. You'd need the sessions to discuss how this is progressing.
I hope this makes some sense.
I thuink my marriage is a lttle like yours and I have come to recgnise that my DH shows his love for us all by what he does and this has helped me dealmore with my own feelings of needing/wanting more. It's not ideal,but we are a happy family.