Is it worth it to run max speed on this dude? Can he go the Ho-oh route and just pour EVs into hp and an attacking stat(s) of choice?
I like to do this and it seems to serve me pretty well. It doesn't seem worthwhile to invest speed since the things you might want speed for outrun you anyhow (Sazandora, Latias/Latios, Landlos, Garchomp, etc) which some you can outrun with Scarf although I think Scarf is kind of a waste on Kyurem's talents and if any of those were Scarfed or got a speed boost it wouldn't matter.
Blaziken might be a problem but you beat him if you set up Reflect before it comes and Draco Meteor although Hi Jump Kick will do a heavy blow. Scarf outspeeds it even after a Protect although again, I'm wary of Scarf since it's really kind of a waste of Kyurem's talents and there are better things at Scarf like Sazandora/Latis. If you use Kyurem, you should be trying to take advantage of it's pros like being an incredibly bulky special attacker that smacks HARD and is hard to kill. Plus, the others are still faster.
Electric/Water/Grass resistances are nice and a Fire/Ice Neutrality is good as well. It doesn't need speed to pretty much own waters that can't do much of anything to Kyurem so hp or special defense investment is worth considering. Dragonite is not particularly suicidal and it probably won't try to tangle with Kyurem fearing actual speed or Scarf and if you have Reflect and defense, not even Choice Band Outrage ohkos (avoid Stealth Rock though, that would allow it to win). Dragon Claw is WEAK on Reflect Kyurem (415 hp/256 Def) doing at max about 35% unboosted with 403 attack and bulky Dragon Dancers at 345 atk do 30%. Zapdos and Gliscor are not going to try to fight Kyurem. Very few Tyranitar's run speed anymore and Kyurem will always outrun the Adamant ones. Tyranitar can't ohko you anyways barring critical hit. Heracross isn't particularly used, Roopushin and Breloom will try to Mach Punch you (although Smart Roopushins will try to Drain Punch, handled by Reflect and that's even assuming they survive Draco Meteor which 2 hit koes so if they come in on that they're dead and Mach Punch less than 40% even without Reflect without a Guts boost. After Reflect, it's just lol. Scizor will pretty much always try to Bullet Puch you which you survive.
Can anyone come up with some legitimate pokemon between 226-289 speed that's actually worth outrunning with Kyurem and can't be handled by Screens, Kyurem's bulk, and doesn't fear switching in where speed actually makes a difference for Kyurem to ko before it koes Kyurem?
Edit-Okay, I was kind of late to the party. Arcanine, Lucario, Hidiharuma, and other Kyurem are very good reasons. The good news is that, most of those are fairly rare (for some reason few people use Kyurem, bulky fast things and MACH PUNCH made Lucario usage go down although if you run into that you can Reflect, Hidiharuma is also taken down with Reflect and can't survive Meteor as long as it isn't -2, Arcanine might be troublesome but pretty rare and likely only on Sun teams for the most part and Draco Meteor will ohko unless they're running bulky). Of those that's actually worth outspeeding, Kyurem seems the biggest threat since you can't Reflect (you need Light Screen) against it and you also need 241 SDef even with Light Screen to guarantee survival against Draco Meteor Specs (if you don't mind dropping your Special attack it could work).
Bulky Kyurem is my favorite hands down although Specs and Mixed are very fun as well. Speed is only helpful if you plan to run choice or mixed, any other shouldn't really bother and it really helps Kyurem's surviveability.