To a storm cloud, your mast on the roof is a lightning rod. As such, to protect your house, the lightning rod needs to be grounded. I've seen lots of lightning damage; doing nothing to prevent lightning damage is not a good idea.
As far as the other options you listed, though, there might be local electrical code variations that have to be complied with. Even though "Codes" are listed in the National Electrical Code (a publication of the National Fire Protection Association {NFPA}, a non-profit organization), your state and local governments often make variations to the "Codes". (After all, it's the government that makes the rules we have to live with.)
To get a better idea of what can and should be done, before putting up the mast, I suggest you contact an electrical contractor in your area who knows the "Code" and the local laws.
Might I also recommend some sort of solar charging system for the batteries? As you describe it now, there isn't a charger for the batteries. Changing the batteries might become a little cumbersome after a few times. A properly installed solar charging system will greatly reduce the need to change the batteries.
Douglas Krantz