The members of the series ACrO2 (where A=Li, Na, K) comprise well-decoupled, highly ideal triangular planes containing isotropic spins. While the A=Li and Na materials have been well studied with several techniques including muons, the material KCrO_{2}, which has the best-separated triangular layers has previously proved difficult to stabilize chemically. We are now able to reliably stabilize KCrO2 in two different polymorphs (alpha and beta) and here we propose muSR measurements on the alpha-phase material. These measurements are aimed at investigating the magnetic ordering and fluctuation spectrum of this material and possibly also the structural transition to the beta phase that takes place upon heating to high temperatures.