I would extend the invitation. I think it was 25yearsmlc that has relayed a story of taking a family vacation when their marriage was on the rocks. The message was that she acted "as if" and it was an enjoyable time. Later when reconciling the H specifically talked about the good time on the vacation as one of the reasons to work on the marriage.
Or I could be mixing stories. Either way, I would invite, act "as if" and keep in mind it is for your children not you and your relationship.
M:34 XW:34 Together: 10y Living: 9y Married: 7y Son:6 Son:4 Separated: 12/28/13 Piecing: 5/2/14 Separated 2nd: 10/16/14 W filed, but pulled it: 11/5/14 papers served: 1/27/15 D final: 3/6/15