While I'm not opposed....but what we be a "coveinent time"?
Would it be whenever it is coveinent for me here in Bangkok? Or maybe the most conveinent time in Tokyo, Perth Austrailia, San Francisco, New York, or maybe London?
Or how about South Africa, Istabul, or Bombay?
No matter where you pick as the location there will be those places around the world where a conveinent time for that place will be in the midddle of the night or during the workday somewhere else, and it won't be "conveinent" for that location.
So while it sounds like a good idea it just really isn't practical. There is always going to be somebody "inconveinenced" by another person's "conveinent" time schedule....there just isn't a common"conveinent" time for everyone everywhere in the world.

Shame on you Shakyamuni for setting the precedent of leaving home.
Did you think it was not there--
in your wife's lovely face
in your baby's laughter?
Did you think you had to go elsewhere (simply) to find it?
from - Judyth Collin
The Layman's Lament
From What Book, 1998, p. 52
Edited by Gary Gach