you can post in the L section, there's more tech info/discussion here than the HD section, just post it's a HD in the first post so guys know for any of the things with slight differences, like DRs for OEM rims for 18 vs 20.
Now onto your question, you're getting all these replies of a 20" DR will never hook all that power....which is true it'll never dead hook that much on the street, but you know what, it'll hook a hell of a lot better than an all season tire! Night and day difference! It'll still spin and smoke and break loose, but you'll be able to give it a lot more throttle, and have a lot more traction available, than just having shit 420 treadwear all seasons on it!
The 20" Nitto DR is your best bet (I don't think it's a 555R though, it may be a NT05R, check their site, they only have 1 that'll fit right). Unfortunately it's going to wear out pretty quick with DD use. I'd expect around 5k miles on a pair (could be as little as 2, or as high as 8, but ballpark 5 till you see how much you're really going to be flogging vs just cruising). If it's a DD and that isn't really practical, then look for an all season tire with the lowest treadwear rating you can find. That'll be a softer tire for better traction. Not DR type traction, but better than regular all seasons, with better wear than a DR, but not as good of wear as a regular all season. It's a compromise you have to make. IIRC BFG KDW's are a 200ish treadwear rating which are probably the best hooking non-DR all season you'll find. Now if you go with a Toyo or Hankook all season, they're 420 treadwear, so they'll last a long time, but you'll be ice skating when you flog it.
I've ran Toyo's (420 wear) for years on the street, and the truck hasn't felt any faster at 800 rwhp than it did at 400 rwhp on the street, because anything over a light roll just lights the tires up. I'm finally just now 15 years into it converting to 15" rears for the street to run a 315/60/15 MT drag radial so I can enjoy tapping into some of my power on the street, but I will miss the HD look.