Superrotation
You atmosphere would superrorate - a (known) way to achieve this is to have slow rotation of the planet. Tidally locking (as per Zxyrra's answer) your world is almost a necessary condition if you are around a red dwarf, but that is not quite an Earth-like condition.
The most Earth-like and plausible way is to have a habitable Venus (likely at somewhat less than Earth insolation), with normal-density superrotating atmosphere. On Venus, the winds at Earth atmospheric pressure level go somewhere around $400\, km\cdot h^{-1}$ or even more (they slow down when going down).
The wind itself might not be enough to distribute heat evenly enough, but a circumplanetary equatorial ocean very plausibly would.
If you want you can provide some "natural" light during some of those long nights by either faint binary star companion, or a huge moon with a high albedo (e.g. our Luna, but covered with ice), or being in a binary planet configuration, or orbiting a superjovian.