Yes, it will work.
However, as you know the stock pictured is for a single-shot 3-screw target action (PSV106). You'd probably want the PSV118, which is for a 4.41" model but uses Savage factory DBM (part number 106238, $68 from Savage) and assuming your rifle is a 308, a magazine (55105, $46 from Midway).
You could also elect to use a CDI or Accurate-Mag DBM, as both reportedly work in an HS Precision inlet.
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