What version of ASUS Tweak are you using?
12.4 Beta + 12.3 CAP1
7870 has similar OC limits to the 7850 ~1200-1300 core, only real difference is the 7870 has the extra shaders unlocked (about an 8% boost over a 7850 clock for clock).
7950's tend to top out a bit earlier around 1050-1100 core, but obviously have more shaders,extra memory,wider bus etc that boost it over a 7850/7870 clock for clock.
As for brands, all seem to be doing pretty well, I don't think anyone has tried the HIS cards yet. MSI and the Sapphire OC cards have better coolers than the Powercolor/VTX's (they use stock ATi cooling) but OC wise they all seem to be quite similar. I think there's only Welshdragon that hasn't been able to get 1050 core on stock volts. Everyone in the 7800 thread managed it, and others in this thread have also. Others seem to be hitting 1100+ on the core using ASUS tweak without much fuss.