I sleep on shift. My base doesn't have the highest call volumes so even if I'm up all night there's a reasonable expectation that the next night I'll get a decent amount of sleep. When I come home I sleep as long as I can, then take it easy until I go back to work. Sometimes it works better than others, but I'm in a city base so weather is rarely a concern.
Brass tacks, some nights you're going to be tired. Do the best you can, slow and steady, when in doubt engage the sas/nav/alt and try to wake up en route to the sending.