Op, personally i think the whole sex thing is a different issue.
If it were me i would want my house done before introducing children into the equation.
I have renovated 2 houses ( with a very uninterested DP ( my second marriage). I was effectively
left to oversee and manually help
in the restoration of 2 properties alone and it made me despise my DH. ( my DH had no diy skills). It is back braking work , i understand your exhaustion. I found it hard damn work especially when you are working as well and looking after young children, in my case. . Overseeing tradesmen and doing work yourself is unbelievably hard. The mental and physical load i had to carry, with the children , the bills and then the house renovation was intolerable at times. My (now ex DH ) was like a third child in my eyes.
I personally feel your house should be up an running before children arrive into the equation. You both purchased this house knowing the work that needed doing.
Your DW does not want kids then she does. She has lost interest in renovation and you have no intimacy. I would look at any underlying issues affecting your DW and your relationship and can they be resolved?
If not, i would probably be inclined to finish the house, sell up and move on , on your own at this point. It does not look like you and your DW are compatible. Your DW does not know if she wants DC's or not, you have no intimacy in your relationship and your DW has lost interest in house renovations and no energy , leaving it all on you. Having solely undertaken house renovations alone myself,i understand the sheer and utter stress you are under.
Your relationship is not working for what ever reason. The burden of the house renovations have now been placed on you and there is no intimacy.
I would end this relationship now before children are involved.
Children place a huge strain on a relationship and if your DW is struggling with the responsibility of a house renovation , needs a break , wants down time, and the inconvenience to life that house renovation causes, i would consider that when moving forward.
I do wonder how the bomb that is a child will impact on your relationship and day to day freedoms you presently enjoy. Children cannot be switched on or off, When they are here they are here and cannot be postponed or put on hold.
I would be fuming with someone who committed to undertake the financial liability that is house renovation with me , then lost interest. I would absolutely not have any plans to have children with a person who did this.
I would be looking to rebuild a new life with someone else.