Let me reiterate....
Cutting out the verbage, if you truly want a target round for .38 the best place to start is on the heavier bullets 148-160 grains, generally a soft lead WC or SWC driven by a fast burning powder such as Bullseye, Titegroup or others powders developed for target use. Generally, it will be a light, low velocity load toward the bottom of the load table. All guns are different, but most target rounds will fall into this category and it's your best bet to start there. Also, the light load is less stressful on the shooter for better follow up shots.
Hollow base wadcutters are usually the most accurate bullet because the obturation of the skirt allows it to fit the bore the same way each time.