As Faster noted, on a boat of this size, you should be fine without a two-part tackle. More than likely you won't be popping this sail in heavy air, unless you're racing.
The "strop" usually refers to a short, fixed tack line, rather than one that can be adjusted. In fact, that's how we fly ours. An adjustable tack line is a better arrangement, but we can still adjust asym luff tension from the top by taking or easing halyard.
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Pacific Seacraft Crealock 31 #62
NEVER CALLS CRUISINGDAD BACK....CAN"T TAKE THE ACCENT