Odal
I echo what most have said! Choose your day with no winds good vis and high or no cloud then you can fly much lower than 5000 feet! As another poster said even 5000 feet can be too low on the wrong day.
the worst turbulence I ever experienced gave me 45 degree wing drops over the Alps near Nice.
This was in a Jet from 20000 feet to 30000 feet, this jet in the 20 to 30K range climbed normally at about 1000 fpm on this occasion with a clearance to FL320 the VSI showed 3000fpm up
cupboards flying open items being thrown about in every direction.
so select your day not your altitude
Pace