That set is the definition of gimmick, I'm sorry to say. With burn, the only attack you could reliably run is facade, but then you'd be walled by nearly any steel or ghost type, the latter type Honchkrow sometimes could handle with Sucker Punch. You lose more health than a Life Orb each turn for a base 140 power Facade. If you were to use Night Slash (just an example) with Life Orb and STAB, you would have 70 *1.5*1.3=136.5 base power, just 3.5 points short of Facade with the freedom to have more than just Night Slash and still receive the power boost.
On the defensive/utility side, this set still isn't good. Honchkrow is frail, and not even Roost will save it from being OHKO'd/2HKO'd oftentimes, so if you did somehow manage to cripple a physical attacker with a burn, there's a good chance you'll be staring down the throat of a ScarfTran or similar, who will gladly roast you with Fire Blast. At best, you'll switch out and eat some SR damage, further hampering any hope of survivability, especially with burn damage. It doesn't help you that your EV spread is offensive, guaranteeing that you won't be surviving many hits, if at all.
And because of the above stated frailness, Psycho Shift is going to be hard to use. You can't really come straight in on a physical attacker, even on a post-KO switchin, as most physical attackers will outspeed and OHKO before you can fire off Psycho Shift. You can scare off some frailer attackers with the prospect of Sucker Punch, but if they get gutsy/smart and launch an attack, bye Honchkrow. Your only chance at burning much is hitting something on a switch in. For example, you could come in a Blissey and threaten Superpower, forcing a switch, but instead, you use Psycho Shift and burn the incoming pokemon, which could be a pokemon like Gyarados.
Sorry for being harsh, but that set outright sucks. Except for the barely useful physical power, I'd rather use Psycho Shift Cresselia, even though I'd probably never use that either.
