high speed sync should be able to get you to 1/200 or 1/250 depending on the flash if you have such flashes. That extra little bit might just be enough to get it to where you want it.
otherwise, use bright lamps instead of flashes, then you'll have a constant high light source and enough to get the shutter speed you want. Also alowing you to bump the ISO up to help you get higher speeds.
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