While you can get the doublestrike for your first combat by casting Savage Beating before moving from declaring attackers or blockers, it might pay dividends to be conservative and wait for the end of combat phase to ensure that you have a successful combat step first without any nasty tricks or traps
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But the more Ive thought about it, the more I like it, and I think Im going to try it out in a number of my red decks
Counter Increasers and Multipliers Ever since Doubling Season we've had ways to double in this case our countering
Amulet of Vigor Look
So, you don't get to go wild with extra combat steps like Seismic Tutelage, but you also don't have to risk your creature dying early on by swinging to double the counters either