I read through this post and I never did see what gear ratio you were running with that big of a tire? I know that the snows that we get here around me....occasional 3'-5' drifts in the county next to mine. They don't really plow the outer reaches of the county and they only have one grader to work with for a very large, less-populated part of the county. We have to gear pretty low for a 38" tire, at least I would anyways. I'd think 4:88's at least. I think the lack of proper gearing is the number one cause of tranny problems with lifted, off-road rigs. I'm not assuming anything about your rig .... you could have 5:13's for all I know...but I was just wondering what you were running in yours. I'm just going on my own experience here.
Without the lower gears....snow, mud and/or sand can really kill the tranny. It bogs everything down so badly and causes the convertor to lock/unlock excessively ... and it causes alot of excess heat. I've seen lots of tranny's so hot that they boiled over and out the dipstick tubes. That can't be good on them....I always run a better cooler....but I've yet to have to do one on a AW4. My present lifted rig is a 5-speed, I have another stock one with an auto...but it doesn't apply to this. But I did have another XJ on 34" tires for a couple of years and it had an AW4 in it and I never had any problems with it either. It had 4:10's in it.
Just my thoughts on it,
Aron