Hello there,
I hope you're doing well! I'm in the middle of playing through HeartGold version again, so if you're interested, I have yet to catch Lugia, Ho-Oh or Raikou & can nickname them whatever you'd prefer. I can also try to catch them in a specific type of Poke Ball, if you'd like. (It may just be a bit of a wait for me to get them transferred from HG all the way up to my Sun, Moon, or X version.)
Just to clarify, though: you're wanting regular-colored versions of those 3, correct? And you're looking to trade either a shiny Suicune or a shiny Umbreon for those 3? If that's the case, may I ask for details on those Pokemon?
Thanks for your time! I look forward to hearing from ya.