  Optical spin rotations and cycling transitions for measurement are normally
incompatible in quantum dots, presenting a fundamental problem for quantum
information applications. Here we show that for a hole spin this problem can be
addressed using a trion with one hole in an excited orbital, where strong
spin-orbit interaction tilts the spin. Then, a particular trion triplet forms a
double $\Lambda$ system, even in a Faraday magnetic field, which we use to
demonstrate fast hole spin initialization and coherent population trapping. The
lowest trion transitions still strongly preserve spin, thus combining fast
optical spin control with cycling transitions for spin readout.
