General Aviation single-engine pilot reported taking off a from mountain airport and had difficulty climbing above the rising terrain on all sides of the aircraft. The pilot eventually gained enough altitude and then safely continued the flight.

Narrative

Airport in hilly area; no free airspace due to mountains on east side; broken hills on west. Runway north to south; uphill to north lined up for south landing on downwind (usual pattern); but tetrahedron showed opposite wind so 180 degrees into opposite downwind (Runway 4-22). Couldn't see sock and no way to determine wind speed due to tetrahedron. Landed uphill due to north into wind. Taxied back; took off uphill to north. Windsock available on end of runway supported takeoff direction. Took off climbing to north into rising terrain with 500 fpm rate. Continued uphill but concerned with rising terrain. Right crosswind not possible due to mountain east next to runway. Normally use left turnout as only intermittent small hills (?) which were descending to west. Upon turning crosswind forced to fly down gullies; stall climbing; but hills had houses on each peak so had to fly over gully with homes on each side 500 ft. apart; still climbing probably 200 to 300 ft. higher than the homes but not happy to be so close. Never a danger to me or anyone else; but not neighborly flying. Rarely use that runway and several homes were newly constructed since I used that runway. Main lesson; unless high winds; always takeoff downhill even if tailwind on normal length runway unless high powered aircraft.