We consider a shift-orthogonal (a shift-orthogonal set of code sequences is used) quasi-synchronous DS-CDMA system based on block spreading in the presence of frequency-selective fading. For such a system, we can develop a simple receiver that eliminates the multi-user interference (MUI) deterministically, without using any channel information, and suppresses the remaining (single-user) intersymbol interference (ISI), using a single-user channel estimation method (training-based or blind) or using a single-user direct approach (training-based or blind). The proposed transceiver is less complex than the previously developed VL-AMOUR transceiver (which has the same properties as the proposed transceiver), while their performances are comparable.