We always liked to remove a leg as you discribed,sometimes both.
I usually used a tent stake and rachet strap.
In my opinion if you are straping it down with the legs still fastened you trying to survive to much wind.
My policy is, if the wind gets to whipping the awning, shaking the trailer,its time to roll it up.I will admit to being parinoid, after loosing one to a sudden storm while we went out to eat one night,we were only gone an hour.30 min. was all it took.Now if we leave it gets rolled up.
We have an electric now which is a whole new ball game.