I dont have experience with the Eotech, but I did have an Aimpoint on my SOCOM, and it didnt suffer any ill effects from the heat. I shot it fast enough and long enough on a number of occasions that you couldnt touch the barrel or mount too.
Springfields rail is lacking though, and if I were to go that route again, I'd go with the Ultimak rail in its place. The Springfield rail is made of steel and does get very hot, and stays hot a lot longer, as the steel retains the heat where the aluminum of the Ultimak does not.
Another issue wit the Springfield rail (or at least with mine) was that its not "mil spec", and you may have difficulties with mounts that are. My La Rue mount would not go on at all, and I tried three ARMS mounts before I got one to stay snug. It never would get "tight", and I gave up at that point. Weaver type mounts work fine.