Not an antenna expert, but I've been listening for a while - maybe I can make some helpful suggestions.
Let's say you plan to put the antenna on your roof, and can ignore the stated restrictions.
Pick a reasonable rooftop height, say 25', and make another plot.
Look at the actual channels, not the virtual channels. As mentioned in an earlier post, the pink zone is about as far as you can reasonably expect to receive without extreme measures. There's VHF (2-13) and UHF (14-69). You could possibly get everything local except WTVD 11 with a UHF antenna.
Look at the directional distribution. Everything local is either at about 63 or 320 degrees magnetic, except for the relatively strong WUNC 25. So you could maybe pick up all those stations with an antenna aimed at 63 and 320, and then hope that WUNC is strong enough to come through anyway. Make that other plot at 25'.
So all that remains is to pick an antenna. Possibly the Antennas Direct DB8e would work for you, aiming one panel at 63 aiming one panel at 320. It's a UHF only antenna, and probably is small enough to meet the 40" fantasy of your HOA (it's about 48" across). But I'd mount it just as high as I could, above the roof line.
https://www.antennasdirect.com/store...V-Antenna.html - also available from Amazon, where I got mine.