Have you told your L you don't want the D? You can have your L take a defensive position, responding only as necessary. This puts the burden of pursuing the D and most of the cost on your H and his L.
My X would actually throw correspondence from her L on her desk and not open it. She asked me a few times, "What's going on with the D?" I would simply shrug and say I didn't know (the truth). After 1.5 years of separation she got her marital D but the financials are still not complete.
Don't do anything you don't want to do.
"The answers are within you" (can't remember who). Unfortunately, so is the bullshit.