You will need to choose your own way to go, but my general advice would be to try and steer away from the 'big chat' and requests that he goes to counselling for the time being.
He has already said he does not want to do counselling (although he may well change his mind later).
I would suggest booking the babysitter and restaurant and telling him advance on the basis that you want to have some time where there is just the two of you away from the house so you can try to reconnect and get back to where you both need to be/'the good old days.'
To me, the 'date' should be about that, not what each of you is doing wrong.
I am not religious anymore, but I do recall part of our wedding ceremony (had to google it to make sure I got it right)
"Love is patient, love is kind. It does not envy, it does not boast, it is not proud. It does not dishonor others, it is not self-seeking, it is not easily angered, it keeps no record of wrongs. Love does not delight in evil but rejoices with the truth. It always protects, always trusts, always hopes, always perseveres."
Yes, you made a promise to God, but so did he. The obligation is not all yours.
"Be completely humble and gentle; be patient, bearing with one another in love"
There is nothing in that which says it is solely up to the wife to make things right or compromise.
As a christian husband he has his own obligations to compromise and help your happiness - the same ones he has as a human being.
Weekends away are not what is needed - my wife would not go when the kids were young - time together and a mutual understanding of what the other needs is better than the most expensive weekends away. I would happily go for a walk and a coffee if it got us some quality time alone together.