I just bought a pair of LP 2.5 after reading some reviews of both the LP 2.5 and Superior 2. From what I gather, there actually isn’t a big different between the two, since the Superior 2 is more like the LP 2.5 compared to the last gen (1 or 1.5), which were more minimal (lol). I haven’t tried the Superior 2, but I can say the LP 2.5 fit my foot better than any shoe ever (really) and they feel fantastic. Just enough cushioning for long days, rocks, granite, etc., but not as top heavy and unstable as the Olympus 1 that I used last summer. Even with the rock plate/stone guard they are flexible enough to feel the ground.
HYOH, but if I were doing the SHR I wouldn’t want something too minimal given the terrain and trail, or lack thereof. However, you could get both models from somewhere like Running Warehouse; they have excellent shipping and returns. I got my LP 2.5 for ~$75 with free overnight shipping to California.
Lastly, I read that the LP 3 are coming out in July and are supposed to be a bit lighter but still quite similar, so if your hike is after late July, it might be worth looking into those.