Not on that beach but there is hotels close by. But Florida is very pet friendly so I dont see why hotel wouldn't allow pets and pet are usually $10 $15 per night thats what i have paid when staying in any hotel with my dog. I would call and ask first.
Majority of Motel 6's are pet friendly, not sure if they have them around that area.
Canova is a dog park. I would assume some hotels around are pet friendly. Check on Google map next to Park and call around. Good luck.
Try the DoubleTree in Indialantic. Its a couple of miles south of Canova Beach.
4155 West New Haven Ave Melbourne FL. Pet friendly, All remodeled and a pool!
Sorry, a couple of hotels on the ocean nearby, but do know if pets are acceptable.
Thanks! Your answer is awaiting moderation.