Wow, Learn something new every day.... After a little checking I see that Hinson Banshee cushions are the standard round style just like the others. All these years I thought Hinson used these funky shaped proprietary pucks like this. https://www.bing.com/images/search?view=detailV2&ccid=L7xh7w1a&id=5BE95CBA5E2A4C396CC8F063965E2CBB07E17CB5&thid=OIP.L7xh7w1aeWjUZ8KhE0_jAQEsEs&q=hinson+clutch+basket+cushion+images&simid=608027685417976365&selectedIndex=2&qpvt=hinson+clutch+basket+cushion+images&ajaxhist=0
When I first replaced mine I fought with them like crazy but have found that if I just barley started one side then used a flat blade screwdriver I could easily get the opposite side to start and they'd push right down into place. Hope that help's makes it easier for you.
I've not used the Chariot kit but all of the stuff that I've ever got from Jerry has been 1st rate.
I just installed a set of Mattoon cushions and really like how dense they are but I didn't use the backing plate and larger screws that require drilling and tapping oversize. Instead, I used a Hinson plate and bolt kit that had the same size screws that my original billet basket used.