Due to the emergency service aspect of ham radio, you can usually apply for a variance in your area. If they still say no, be sure to be a member of the ARRL, as they have a team of lawyers with a pile of boiler plate precedences to assist you in resolving the issue. That being said the thing most people object to is the antennas. There are plenty of stealth antennas you can build yourself, or buy. They can't complain about it if the can't see it.
Are clotheslines for drying your clothes allowed?.....