In Groove Agent 4 (the full version, not SE), there’s a Load page in Instrument mode where you can browse kits in MediaBay view or samples in the Browser view.
The Browser view has an Auto Play toggle switch that plays any sample you select. While there are no next/prev buttons for samples, you can use the up/down arrow keys on your keyboard to quickly audition one sample after the other.
If the “replace focused sample” toggle button is disabled, double-clicking a sample will replace the entire sample contents of the currently selected pad with the sample you double-clicked. If the button is toggled on, double-clicking the sample will only replace the specific sample you have highlighted in the Edit tab.
It’s ALMOST as nice as Battery 3. The one thing Battery 3 does better here is it has an additional “In-Kit Preview” feature which lets you hear the selected sample playing in your kit without making any permanent kit changes.