I've actually got both Manfrotto (tripod and monopod) and Arca-Swiss (2 tripods) heads. I prefer to use the standard Manfrotto plates with their heads when I've got any kind of weight or am in more precarious situations, but in general I have found that
these plates I got from Amazon work well on both, and especially on the Arca-Swiss heads.
I googled your ball head and
wow ($$$$$) - new that's more than I paid for my Manfrotto and MeFoto tripods combined. According to their website,
"Really Right Stuff camera body plates are not generic, they are model specific. We stock custom plates for all of the Nikon camera models shown below. Select your camera, then click through to see all plate choices." D5500 plate is $49.
This link tells you all about their system, which is "based on the Arca-Swiss system", which I would assume means it will accept an Arca-Swiss plate, but you never know.
Intro to the RRS Quick-Release System
Everything I read on the site makes me think they've designed their product to insure you buy nothing but their stuff.