I don't think there's any cause to abandon p-values and NHST if you're running experiments with high power and intelligent, deliberate priors.

With power = 0.8 and p(h1) = 0.6, p(h0 | p < 0.05) = 0.04. Even if power = 0.8 and p(h1) = 0.2 then p(h0 | p < 0.05) = 0.2.