What is your budget for this project? If you have $10K, you can include AC, but forget about 150 watts of SOLAR to recharge your LifeP04 batteries
. The AC will be using about 1440 watts or 120Amps @ 12Volts, and you will still have limited usage of the AC, depending on the amount of batteries you purchase. You would not have enough real-estate on your roof to get close to fully charging your batteries using AC. A generator is your AC option. With that said, 3000 watts of inverter is over kill, without AC.
When dry camping, which is a whole different life style, power saving it the top objective. Don't leave your lights on, radio/TV on only when some one is watching/listening. Microwave cooking at peak sun times (between 11am and 1PM). Coffee only if you have sufficient battery power in the morning (battery voltage >12.2VDC, else use the generator. Shutting down your 12Volts load items items when the battery voltage hits 12.2VDC (Battery 50% rule). That includes the INVERTER. How soon it gets to 12.2VDC is how big your battery bank is and if you follow the RVing with SOLAR life style.
How low do you let your batteries get now? If you can not answer that with an exact number, getting true deep cycle batteries could cost you a lot of money each year. Deep cycle batteries require maintenance, granted AGM batteries do not have the water issue, but the you still need to monitor how low you let the batteries go, and they cost more than flooded batteries. My Trojan T145 (260Ah) batteries are 5 years old now. I can say that they have never been below 12.2Volts, the water level is checked monthly,unless when I leave it in the mountains over winter, the 250Watt SOLAR panel and MPPT SOLAR charge controller keeps it fully charged. Battery water level was fine when I returned this spring. I left the TT in operating mode, and did not use the battery cut off switch. This puts a small load on the batteries and keeps the SOLAR charging the batteries.
The 150Watt SOLAR panel will be enough for 150Ah of batteries, not very much for any type of serious dry camping. You need to size your battery banks to allow for at least 3 cloudy days of no sunshine. How long do you plan on dry-camping? Couple of days? Week? Weeks?... This will give us an idea as to the size of your battery bank(s) and SOLAR panels. Like I said a large FifeP04 could be sized for AC, but at a cost $$$$$$$$$. And if you do not monitor that system, it could really cost you a bunch.
Personally, I would go with deep cycle batteries before you jump into the LifeP04 option, just as a learning curve, less costly should you do something wrong.
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RVing with SOLAR
2013 Jayco Eagle 284BHS
250Watt Grape Solar Panel, MorningStar MPPT 60 Charge Controller
1500 Watt Ramsond PSI, 2 Trojan T145 Batteries (260Ah)
2 - AirSight Wireless IP Cameras (used as rear view cameras)
EnGenius WI-FI extender, D-Link wireless (n) modem
MagicJack Internet Phone
2012 Ford F150XLT, EcoBoost w/3.73
157" Wheel base, HD Towing Package
Our Solar Album https://www.jaycoowners.com/album.php?albumid=329