If you can't get it changed, and the CC&R states something like..."(ham radio) antennas are prohibited, unless approved by the Architectural Committee", you might have a shot, depending on the logic of what you intend to erect. Most likely, forget a tower and beam. Maybe an inconspicuous vertical or wire antenna.
Bob K7JQ
It seems to always be the same internet HOA experts, doesn't it?
In ours, which is typical of many if not most here, The AC can and does have the authority and flexibility to both establish new rules or modify existing ones pursuant to boilerplate CC&R language generally found in genesis documents, all of which recognize the anticipated need to manage future use.
The whole "can't change the CC&R" theme song is largely a red herring argument.
I've looked at dozens of CC&Rs around here, most of which are contained in less than 10 pages while the HOA implementation manuals published pursuant to the CC&Rs contain hundreds of pages of explanations, construction codes, implementing procedures, examples, modification criteria, etc...