let her have the kids for a couple weekends. explain the situation to work if they don't already know, and ask for a couple of Fridays off. grab a knapsack and fill it with a tarp, a thin quilt, waterproof matches, the minimal amount of food to sustain you, some whiskey, a knife, a couple band aids, a water bottle, then walk into the woods a day and a half turn around and walk back.
Monday back to the grind, spend a couple of your free hours during the week thinking about how you can lessen your load, be more waterproof, be faster, the further you can walk the better.
The second or third best thing I did in my entire Divorce Busting experience thus far.
The objective of the experiment is to KNOW YOURSELF and what is the least amount of other things YOU required to survive in the harshest conditions. Relying just on YOURSELF to solve any situation YOU are presented with and make opportunities out of them.
Realize there is the possibility to suffer, get injured, stress your body to the maximum. But YOU are wholly dependent on YOU to minimize those with successful solutions.
In response to your comment, I carry whiskey in case I am shot to sterilize the wound if I need to use my knife to dig the bullet out (I carry 1 cigarette in case that happens also). I also have a handmade quilt and a sheet of spinnaker, a 24oz Heineken can with the top can opener-ed off for a cup, caffeinated strawberry crystal light, rope, never enough food but i doubt I'd eat bugs like survivor man, petzel headlamp, other things grabbed from around the house.
Spending the night between rocks in a thundershower with only a garbage bag and a cup of soup, unable to make a fire is torment; winning a girl requires a little arrogance in that you only rely on yourself, knowing nothing is impossible, and that you are pretty impressive doing it.
KNOW YOURSELF. or you could take a girl wearing daisy dukes and a tank top to the rawk show and see if your wife is only playing with your mind and the taught of you moving on and finding someone else makes her realize you are an important and exclusive part of her life - or if she is done and is in love with someone else - or herself and is learning what it takes to be an individual, rely on herself, survive on only what she is capable of and the opportunities she can make for herself.