Most types of diodes may be used as switch, Schottky, PIN etc.
But the switching performancese are more related to the artwork rather than the type of semiconductor.
Beam lead diodes mounted on "hard", thin film substrate ustrip, placed on a "star" artwork and shielded by a deep, milled metal jig, give the best performances on frequency domain and reach the highest frequency. Under this mounting conditions you may get an hi end compromise between switching time and frequency range.
In any case, to get the highest isolation and the lower loss, mechanical switch is the best.
FET switch is the fastest.