welcome to the forum scottya
never done the trip myself, but take time to explore Alicante a very underated place in my opinon
quote
Bus service in Spain is generally good, buses use to be modern and confortable. There are many different bus companies in spain, but normally just one per route. Alsa is currently the main bus company in Spain and owns the route Granada-
Alicante there are five buses daily and cost from 27,77euros
GRANADA ALICANTE 02:30 07:50
GRANADA ALICANTE 10:21 16:20
GRANADA ALICANTE 15:45 22:05
GRANADA ALICANTE 16:15 21:10
GRANADA ALICANTE 23:30 04:30
http://www.discover-alicante.com/bus/alicante-granada-bus.htmlthis 1s from 2009 and prices will be out of date
hope it helps a little bit