I've got the 275/70/18 KO2s on my stock LX and they are pretty great even in the snow. I also fit the same size tire underneath without any issues with my *presumably* OEM hitch. Once I get the tire raised halfway into the spare area I give it a tap with my foot to get it centered in the space. I've changed and rotated tires a few times and have never had or seen an issue with it.
That's how I raise it as well, but I have the integrated hitch in the center of the bumper.
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