This is basically my plan. I personally like having a rather minimal living area with much more space for working with tools. I work on cars, furniture, and countless other projects so that my tools and materials take up much more space than my personal living items. This isn't going to be the same for everyone with different living styles and climates and local regulations.
I find it pretty crazy to build a giant house where it is empty for more than 1/3 of the day, never more than 50% of the rooms occupied, and trying to air condition the whole thing 24/7. Add to that the fact that I have built many homes from 1,500 sq ft to 15,000 sq ft and they all had almost exclusively 2x4 walls. 2x6 walls 24" on center are actually stronger, hardly any more expensive to build, and gives more room for insulation. Houses use more energy than cars but cars are the ones with government mandated efficiency standards and very little effort to make efficient housing standardized. Having separate structures for rooms you wouldn't use everyday and not having to heat or cool them constantly would probably negate extra building costs in the long term.
Of course this comes down to how you live and what you are willing to put up with. I personally am of the belief that it is good for everyone to attempt reducing things in their life, one at a time, until they have pushed themselves well beyond their comfort zone. It is helpful if you ever go through a huge crisis so that you can be better prepared, and it can help you find the best balance for you between expensive luxury and too little to live happily. Some people would literally have a breakdown if they couldn't use their home theater every single night, and others are happy to find a new refrigerator box. I think most humans can find a happy middle ground somewhere between those two extremes.
I have a few ideas for what I want to do. I like the idea of a rocket stove powered sauna building with shower and bathroom attached. I could still have a toilet in the tiny house, but I don't need my shower air conditioned. Same with the kitchen. Cooking dinner indoors around 5PM everyday makes the A/C runs continuously, with the heat of the oven plus the heat soaked in to the roof by that point of the day conspiring to throw your money directly down the drain via an absurd electric bill. A wood fired outdoor kitchen can eliminate that heat at the worst time of day and save a lot of money. I can still make a standard tiny house kitchen with a small propane stove, microwave, fridge, and other stuff. But I like the idea of making a small building screened in with plenty of counter space to prepare food and cook with wood. I guess being a single guy with a small piece of property in Florida affords me more choices than some other living situations.
I do believe that it can be more advantageous to put continuously occupied rooms together. If you have a large family and try to make every single room separate then you will spend a lot more money making exterior walls, roofs, doors and such. Trying to pipe in water and electricity will not only be a hassle, but nearly impossible to do legally. There are a few work arounds, but it does come to a point where it might be better (and cheaper) to just deal with the hassle of regulators and the expense of your taxes going up. With all the satellite stuff and some places having phone 'apps' to complain about your neighbors, it is only a matter of time before it is impossible to do anything without the infinite reach of the law harassing people on the suspicion of breathing funny.
One of the work arounds is an ancillary building. If you have one house that is of legal size, then you may be able to add a smaller 'shack', 'in-law house' or similar. A guy on YouTube, SolarCabin, had this problem. Basically what happened was he sold his land to his brother, who built a house, then he build his cabin as an ancillary building. His brother sold him back half of the land with his cabin on it and it was 'grandfathered' in as a legal structure. Right now it seems like there are some extremes with a few areas cracking down hard on tiny houses and others welcoming them. Finding a tiny house friendly area might be a better option than trying too hard to work around the laws.
Spur, Texas isn't too far outside the region you mention and is tiny house friendly. I would seriously consider making a house with a foundation from scratch vs buying a house on a trailer that you will never use, unless you plan on hitting the road with one.
http://www.archedcabins.com/ has some steel structures for reasonable prices and isn't terribly far away, so shipping would be affordable. I could go on for days and this post is way too long as it is. Look into some of the ideas out there and post back with any more questions. Good luck!