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I've posted something like this a while back.

What I do is only roll for WS/BS and have it be modified from the S vs T and Armor Save.

Basically you can't roller better than your WS/BS.
You get -1 to hit for every +1 of armor save. Armor save can be negated by AP.
You get +1 to hit if your Strength is better than the target's toughness, then additional +1 for every multiple. -1 if S is less than T and same additional -1 for multiples.

You only have to roll once for attacks but this system does make attacks more lethal and buff/penalties stronger, but I also use harsher penalties like -1 for moving/charging and long range penalties.