I don't think so. I know LP had a discount at the Howard Johnson in Anaheim (not sure if they still do), but I don't recall ever hearing about anything in Florida
I looked at the Howard Johnson a few times and generally you could get rates just as good or better on their website anyway.
Personally, I prefer the All Star Music. It's inexpensive; the food court serves a decent breakfast; theme park bus service is decent enough; it's a pick-up site for the local Gray Line affiliate's service to Kennedy Space Center.