Depending on the axial tilt of your planet, the poles might be an option. At near 0° tilt, the poles could easily be warmer than the night-side equator.
With 0° tilt, someone standing at either pole would always be in sunlight (as slight as it may be); taller objects are more likely to get sunlight at their tops. Closer to the star (or larger star), this would apply further from the poles (if only slightly). This would give the poles a far more consistent thermal profile than the equator (with it's rather long periods in sunlight and darkness).