The climb rates specified in departure procedures are in feet per nautical mile, so you need to convert those figures into feet per minute based on your groundspeed. If the required climb clearances are even close to your aircraft performance, don’t bet your life. Wait until the ceiling and visibility are good enough to avoid the obstacles visually. If no obstacle procedures are posted, you still must be able to climb at 200 feet per nautical mile. This should not be much of a problem for most airplanes at sea level, but it could be questionable as density altitude increases. Light piston twin drivers already know a 200 feet per nm climb rate might not be possible on one engine, so it would be wise to know if there is lower terrain around the airport. To maneuver safely around terrain until you can return for landing or climb to the minimum safe altitude would, of course, require that you have adequate visibility and cloud ceilings. As a minimum visibility, you might want to consider having 1 mile of visibility for every 60 knots you are flying. Sixty knots: 1 mile visibility; 120 knots: 2 miles visibility, etc.