I'd hunt it. But I'm a degenerate redneck. lmao Just the thought of being part of an HOA gives me the shakes!
In all honesty though, I'd have all the i's dotted and t's crossed so when your asswipe neighbors (because you have some even if you don't know it yet) call the law, you are in the right. Also, if you shoot a Booner or something truly big in there, you better be legal with it or you'll be out some major coin. A 180" deer will run you north of $10K in fines and restitution. So I'd get with the HOA, have them approve you hunting, then get the President to sign your permission slip.