I'm one of the last remaining people who still likes the idea of LCOG. This is my thinking (whether it is right or wrong, I don't know).
I'm definitely not a fan of slamming too big of tires on with too small of a lift. I want up travel so I can cruise around comfortably, whether that be on-road or off-road. But at the same time, I value being able to point my Jeep at a very steep climb without worrying about rolling over backwards. When I think about a good LCOG build, I usually think something along the lines of 37's, 2.5" - 3" lift, 1.25" BL, relocated shock mounts, 100" WB, and highlines. Something like this is eventually where I'd like my Jeep to be. What up-travel numbers I'm going to get out of that, I have no clue. But I don't think that build philosophy is going to cause too many compromises.
At the end of the day, I think what up travel numbers and COG you're shooting for really depends on what you want to do with the Jeep. If I wanted to race through the desert, I'd be maximizing my up travel and looking at 8"+ if I was getting serious about it. But for what I like to do, slow crawling and steep / off-camber obstacles, I think a lower Jeep is better.
Some of my ideas on this come from comparing apples to oranges. I've attached a photo and a video of the buggy I was able to drive in Moab a few years ago. I've never driven a vehicle off-road that seemed so stable. You could point this thing at pretty much anything and it would crawl right up with no drama (no hopping, no feeling the front end getting light, nothing). There was one climb on Poison Spyder where a TJ with a 5.5" long arm almost ended up rolling over and was saved by the tire carrier. I drove this buggy right up with absolutely no problems what-so-ever. Whether it is possible to get buggy-like performance out of a TJ, I'm not sure. But I would like to get as close as humanely possible.
The buggy is pretty low when considering it is sitting on 42's. It is also a lot wider and a lot longer than a TJ. I know I am comparing two COMPLETELY different things, but I still think there is something to be learned.
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