What schools like high test scores?

None of them particularly advertise it. Sometimes adcom (such as the one that @JenJenJenJen mentioned) will say that test scores are weighted more or less heavily. Sometimes you can infer it- Vandy has been giving merit money for good test scores for a while now, to drive up their average. As @eyemgh noted, that score will get you a great ride at Alabama.

But the ones that are going to be most impressed by your 35 are probably not the ones that you are hoping will be impressed- they will likely be schools that you see as ‘beneath’ you. Remember that schools who emphasize high test scores are not be altruistic- they want your high scores to raise their average, making their student body look better, so more students apply. Higher average scores + higher % of rejections = higher USNWR ranking.