The maximum sync speed is a limitation of the camera, specifically it's shutter. At speeds above the max, the shutter isn't all the way open and any one point in time, thus, if the flash fires, the shutter sill be blocking part of the sensor.
High Speed Sync (HSS) on the flash, is a function that fires the flash repeatedly and at a lower power level...thus allowing the whole scene to be lit up as the slit in the shutter travels across the frame. It only works when the flash is on the camera, or is being controlled via a Canon master flash/unit.
In other words, you can use HSS with a simple radio trigger like that. So even if the Cowboy trigger is good up to 1/320, the camera itself is only good to 1/250 without HSS....so that is your max.
With that out of the way...you may not need a fast shutter speed to freeze movement. The burst of the flash is much shorter than 1/250...so it can freeze action pretty easily. You can use 1/2 and get nice sharp shots when using flash. They key is to limit the amount of ambient exposure...which will cause blur with moving subjects. So if you're indoors (and in control of your lighting) then just shut the lights off and use only the flash.