If you've been "lurking" around here for a while, you may have found one of the most sage bits of wisdom I've seen: buy for your intended, regular use, not what you "might do" one day. Personally, I'd love a 35' or so, deep keel boat with a nice bow angle and modest beam to slice through the waves for the trip we hope to make to the Virgin Islands. But, as a practical matter, I live in the Northeast. Getting my "daily-use" boat to Florida so I could make the trip down to the VI's is a long prospect (unless I can convince my wife to take some of the night shifts), and as a practical matter, I don't have that kind of vacation time. Once I realized that, my perspective changed significantly, because I, like you, wanted a VERY safe boat since my kids and wife would be aboard. But there's "blue water" safe, and then there's near-shore/inland safe. As a practical matter, in the next 5-10 years (i.e., the timeframe I expect to keep our new-to-us boat) I highly doubt I'll be going much beyond a trip from Barnegat Bay, in NJ to New York/Long Island or the Chesapeake, and even those longer trips are probably a year or two away at the very least. So, what I needed was a boat that would fit my family's needs at this moment in time. If I somehow strike it rich and can afford the time away from work, and have the inclination to try the voyage to the USVI's before I have the right boat, I can always charter. And then I can come home to the boat I'm used to, the boat that fits my "regular" needs.
By way of example, the boat we've bought has high freeboard and a shallow draft, which makes it a poor candidate for sailing to windward, and the large cockpit can be disadvantageous when waves and rain are flooding the cockpit. But at 31' long with a 3'10" draft, I can take her almost anywhere in Barnegat Bay or the Chesapeake where the water in some places is only 4-5' at low tide, if you're lucky. The "tri-cabin" layout of our boat gives my wife and me some private space while still giving our boys a cabin to call their own. The 6'5" headroom in the cabin means even my father-in-law can come along and hide out below without having to stoop. The big cockpit means we can have family and friends over for rides without feeling cramped, and the wide beam makes for significantly more "elbow room" both below and on deck.
So, I would encourage you to think carefully about how, and WHERE, you truly plan to use the boat. For example, you said you expect to live aboard for a month, yet your wife won't be with you. Does she know this? (or, as might be the case for me, did she suggest it?)
Once you can better define the use case, then I think we can help you better find the "perfect boat for you", keeping in mind that, as others have said, all boats are compromises.
Edited to add:
If you REALLY want to start looking at boats now, at least give us your area, whether you primarily want to race or cruise, and what your budget is. For example, if your budget is fairly modest, something like an O'Day or Catalina in the 25-30 range, or even some of the Cherubini-era Hunters, would probably be a good place to start. In my opinion, once you begin to push the 35+' range, you get into a LOT of sail, and a LOT of boat, and that can make it tougher to single-hand unless the boat is properly equipped (e.g., electronic winches, bow thrusters, etc.) especially if this is your first boat. Sure, some of the folks here may single-hand their 42'er with manual winches, etc., but most of them have been sailing for years. The last thing you want to do is to buy a first boat that is so big, and so hard to handle, that you get discouraged from sailing or using her (and that happens more often than you think).