Grilling in the morning, grilling in the evening, grilling at supper time.....there is no wrong time to grill.
While not as tasty as charcoal grilling, when I was on the road I had me a small gas grill that ran off the little coleman type propane bottles. Nothing like stopping at the store somewhere and picking up some fresh meat and slapping it over an open flame.
I usually did the grill bit on the road when I had to take a reset or was going to be laid over for a the better part of a day.