Those triangle quick links always struck me as a bit bulky. Probably they do handle a bit weird because of the relatively long rigid segment they introduce. On the other hand, you could also get the same erratic wobble from having a handle that's just too long.
Assuming you're in the U.S. you could order handles from luxotica.com. They're where I bought mine, and they use a small 200lb rated split ring to attach to the swivel, so they're pretty solid and compact.
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