  Three ways are compared of dealing with rescattering effects in $B^{\pm}\to
K^0\pi^{\pm}$, in order to determine the weak phase $\gamma$ from these
processes and $B^{\pm}\to K^{\pm}\pi^0$. We find that neglecting these
contributions altogether may involve sizable errors in $\gamma$, depending on
the rescattering amplitude and on the value of a certain measurable strong
phase. We show that an attempt to eliminate these effects by using the
charge-averaged rate of $B^{\pm}\to K^{\pm}K^0$ suffers from a large
theoretical error due to SU(3) breaking, which may be resolved when using also
the processes $B^{\pm}\to \pi^{\pm}\eta_8$.
