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We have searched for $CP$ violation in the charmed meson decays ${D}_{(s)}^{+}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}$ and ${D}_{(s)}^{+}\ensuremath{\rightarrow}{K}_{S}^{0}{K}^{+}$ using $673\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of data collected with the Belle detector at the KEKB asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider. No evidence for $CP$ violation is observed. We report the most sensitive $CP$ asymmetry measurements to date for these …