...nonetheless:
A super-adiabatic lapse rate is common in the Southwest U.S. in the summer, but can occur in most regions of the U.S. in the summer when the skies are clear (maximum insolation), wind speeds are low (limited vertical mixing) and soils are dry (no evaporational cooling).
The super-adiabatic layer is generally shallow and located near the earth's surface.
Another situation a super-adiabatic lapse rate can occur is over a warm lake.
In heavy lake-effect snow situations there will often be a super-adiabatic lapse rate above the lake.
A downsloping wind is another situation it can occur. With a downsloping wind, air is warmed at the dry adiabatic lapse rate as it sinks. This combined with surface heating can produce a super-adiabatic lapse rate in the lower troposphere in the afternoon.
SUPERADIABATIC LAPSE RATE