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Classical first passage under resetting is a paradigm in the search process.Despite its multitude applications across interdisciplinary sciences,experimental realizations of such resetting processes posit practicalchallenges in calibrating these zero time irreversible transitions. We considera strategy in which resetting is performed using a finite time return controlprotocol in lieu of instantaneous returns. These controls could also beaccompanied with random fluctuations or errors allowing target detection evenduring the return phase. To better understand the phenomena, we develop aunified renewal approach that can encapsulate arbitrary search processes in afairly general topography containing targets, various resetting times andreturn mechanisms in arbitrary dimensions. While such finite-time protocolswould apparently seem to prolong the overall search time in comparison to theinstantaneous resetting process, we show \textit{on the contrary} that asignificant speed-up can be gained by leveraging the stochasticity in returns.The formalism is then explored to reveal a universal criterion distilling thebenefits of this strategy. We demonstrate how this general principle can beutilized to improve overall performance of a one-dimensional diffusive searchprocess. We believe that such strategies designed with inherent randomness canbe made optimal with precise controllability in complex search processes.

Stochasticity in returns can expedite classical first passage under resetting