The FCC has a tight set of regs regarding what limits an HOA can require on a dish. These rules trump local laws or an HOA's CC&R.
If your dish is entirely within a "limited common use" area reserved for your exclusive use such as a patio or a balcony, the only rule they can make is to prohibit you from drilling holes in the outside wall. The dish must not prject outside of your exclusive use area in this case.
If your dish cannot be situated entirely within an exclusive area of your own, the HOA must make reasonable accomodation to allow you to install it.
They *can* require you to paint it under those circumstances but only if it will not interfere with signal reception. Check with your dish suplier and get an answer in writing.
Federal law is very clear on this that an HOA has very restricted rights about how they can regulate small (under 18" ) dishes.
An excellent Q&A is available on the FCC website at
Jim P.
(President of an HOA but IANAL)