  We present a method for achieving high fidelity state preparation and
measurement (SPAM) using trapped ion hyperfine qubits with nuclear spins higher
than $I = 1/2$. The ground states of these higher nuclear spin isotopes do not
afford a simple frequency-selective state preparation scheme. We circumvent
this limitation by stroboscopically driving strong and weak transitions,
blending fast optical pumping using dipole transitions and narrow microwave or
optical quadrupole transitions. We demonstrate this method with the $I=3/2$
isotope $^{137}\mbox{Ba}^+$ to achieve a SPAM infidelity of $\left(9.0 \pm
1.3\right) \times 10^{-5}$ ($-40.5 \pm 0.6$ dB), facilitating the use of a
wider range of ion isotopes with favorable wavelengths and masses for quantum
computation.
