4100k is also what I prefer and have most of my house lit with it, but from some recent articles over at Science Daily I'm limiting it's use in the evening and night. There is good research now showing that blue light influences some of the body's internal clocks and when you are exposed to it at night it messes up those clocks. I personally have noticed that I tend to stay awake if I'm using my 4100k fluorescent lamps, and in the evening I will be yawning an hour after I turn them off and only use the 3100k lights. Same lumen level in the room, just different kelvin output on the lighting. Note, all lamps are CRI index 89 or higher.
All my LED work lately has been with pre made 12V LED strips, and custom controllers. The controllers I'm working on are for use in sculptures, and not very useful for lighting. The strips would be applicable for TnTTT lighting. I don't know how much to use as I haven't built my tiny travel trailer yet. One of the 4,500k strips I have is roughly equivalent to a 60 Watt bulb when run at full brightness. What I do know is if you have the LEDs doing direct lighting you will likely want to use more than full brightness would require as the individual LEDs are bright spots, and running them as dimmed levels makes it much easier on the eyes. For powering these LED strips from a 12V lead acid battery, a low dropout voltage regulator would be used to make sure the battery voltage is limited to 12VDC.
LEDs for the modules I listed in my previous post:
http://www.ledsupply.com/creemce.php Just find a power supply that matches the current needed for the LEDs. Note, the Cree XLamp LEDs I linked to are multi chip devices that operate in parallel or series depending on how the module is wired up internally. So a single warm white one uses 350mA @ 12.8V. 1, 2, or 3 of them in series could be driven by a LUXdrive FlexBlock A011 power supply module. Additionally you will need a heat sink to dissipate the heat generated. Grounded tip soldering equipment, wire, and ???. I know I'm forgetting something.
I only chose LED Supply as they came up early in a Google search. I did buy stuff from them years ago, but those products are no longer available.