I've never hunted Hart, plan to in the near future though. I do hunt late season mule deer every year and have for the last 3 years straight. I would suggest covering ground, as much as possible and glass as much as you can. I personally would hold out for a 180+ inch buck if i had that tag. A friend killed a 193" buck in there a couple years ago on one of the early hunts.
If you find a deer that is what you are looking for don't assume he will be there the next day, they move a ton during the late hunt and unless you find a basin with a ton of does the bucks will just be passing through. Early Nov. everything will be cruising through country that early, the true hard rutting action doesn't start until mid Nov. but IMO the best hunting is in the first week or two when the bucks are cruising for does.
Good luck, you should be in for the hunt of a lifetime.
One more thing, don't get too caught up on putting in tons of miles on foot, most of the late season hunts i have done we have been more productive driving around and glassing. We can cover so much more ground that way, you can drive to a good spot and walk out fingers glassing into them and then move on, the days are short this time of year and you want to cover as much ground and look at as many deer as possible until you find what you are after. Late season is a numbers game some places I have went you have to look at 20 bucks before seeing a shooter and some places you have to look at 200 bucks before finding a shooter. I would guess Hart will have more shooter bucks per deer than a lot of other places.