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We discuss the possibility of studying diffuse baryon distributions with the kinematic Sunyaev-Zel'dovich (kSZ) effect by correlating cosmic microwave background (CMB) temperature fluctuations with density fluctuations from 21 cm intensity mapping (IM). The biggest challenge for the cross-correlation is the loss of large-scale information in IM, due to foregrounds and the zero spacing problem of interferometers. We apply the 3D tidal reconstruction algorithm to restore the lost large-scale modes, which increases the correlation by more than a factor of 3. With the predicted foreground level, we expect a ~20σ detection of kSZ signal for 0.8≲z≲2.5 with CHIME and Planck, and a ~40σ detection with HIRAX and Planck. The significance can be greatly increased with next-generation facilities of higher spatial resolutions.