Another Stander suggested you read "5 love languages", have you done that?
You say you don't know how many more months you can "just do 'nothing'". If you implement speaking to your husband in his "love language" and are out and about GALing and doing your 180's to be a better person for your self, you are doing something.
Doing those things for you will help move things along in your sitch. Also if you speak to your husband in his love language he may want to know what he can do to speak yours and you can share the 5LL book with him at that time.
When you go for hikes w/ the dogs and your H, you be the one to "act as if" you are having a great time, tell him you really enjoy walking with him, have fun ...."acting as it" may help bring him out out of the "auto pilot" mode.
For now your focus should be on you and what changes you need to make.
Here are links for a former poster named SDFoundGirl, her H was in the home, she detached, GAL'd, 180'd and after about a year of doing that and not letting his behaviors affect her, she and her husband began piecing (piecing then took another year or so until they got back to 'normal") and eventually reconciled their marriage....maybe you'll find it helpful to read some of her beginning threads
me: 30 H:30 tgthr:7 m:4 no kids 5 counseling sessions initiated by H as a LR: Oct 2012 long distance marriage b/c of work since Nov 2012 official BD: July 2013 nothing filed 1/1/14 I dropped the rope