My experience and 24vdc FTW!
In my experience and after purchasing 5 or 6 different strips, I'm personally committed to 24v DC, double width, high quantity (600+), 5050 LED's. I have tried many 12v strips, and for my behind backdrop RGB+W strips, 12v DC is fine. Or possibly if you have a quite low "throw" distance, that is, if your valance is 12"-16" from the layout you may get away with the 12v DC strips. In my case, I have a throw of around 36", as you'll see in some of my under construction or during installation pictures below. Lumens is key, the throw distance is the controlling factor. As for color, I think this may be more of a use case or personal preference, as in if you take many photo's or the like in Joe's case. Personally I prefer 4700-5000k, and use RGB to "warm" this color and to provide timed color differences by using some yellow in the morning, some yellow and a touch of red for evening, and blue for night. For me, I don't like an all blue night lighting effect, I find it too difficult to read car numbers and the like. So I choose to use a quite low setting on my primary 5000k white LED's, with a medium level on the blue of the RGB. In my case I haven't had any luck with a single, double wide strip to do both white and RGB lighting. I do use a single strip for white and an additional with an RGB+W strip.
Heat can also be a problem, or shorten the life of the LED's. So I've opted for a 1" angled aluminum strip, with the double width, white LED's facing directly down on the angle, so that I get very good lighting on the front edge. With the RGB+W strip on the vertical surface of the angle so it largely throws the color on the backdrop. When in night operations then, the layout is lit dimly in white from the primary strip and the sky is lit mostly in blue. With an additional strip under the edge of the fascia for reading operations paperwork, it seems to do what I want.
On power supplies, 12 and 24vdc power supplies are pretty cheap. They are all from China, of course, but I got mine from AliExpress for $20-$40 depending on amps. I would recommend staying away from repurposing computer power supplies as they have a pretty wide tolerance or range of voltages and the cheap, regulated power supplies are much more consistent and that is the life of your LED's. You can see mine below the layout, where normally covered up by skirting, and a door, in a wall mount enclosure. With this arrangement, all I have running between the JMRI computer that's in an adjoining room is a single ethernet cable carrying DMX control.
One additional comment, on control. Many may be happy enough with a simple dimmer mounted somewhere, and that's easy, but opt for a PWM based dimmer. I wanted mine to operate automagically by fast clock data. I started using ESP boards and MQTT to exchange data between JMRI and the lighting. Nothing against this option, and I use the ESP boards for turnout control, signaling, and accessory lighting control. However, I have since opted to use DMX control, as is used in stage lighting and professional lighting control applications. A reasonably inexpensive USB-to-DMX adapter is available on Amazon and DMX controllers that support 12 or 24v are affordable as well. The controller I'm using provides 30 channels! Which RGB takes 3 channels, and RGB+W takes 4, obviously. My controller lets me split half the channels to one power supply and the other half to another, for wattage considerations or in my case so I can use 24v for my primary white lighting and 12v for the RGB stuff. I'm also using some spot lights to solve some dark corner issues and as highlight lighting and to provide for some natural shadows and there are many DMX integrated spot lamps available. Many DMX installs would use the larger, 3 pin XLR cables as used for microphones and other audio equipment. However, you can, as I do, use regular cat5/6 ethernet cables and there are adapters available, but they are simple enough to solder up from XLR connectors and ethernet keystones if you were so inclined. In my case I have the controller with the power supply and the actual DMX cables are very short and are with my power supplies in a wall mounted enclosure. If you had a larger layout you may want to distribute your DMX controllers and daisy chain XLR or ethernet between the controllers. Regardless, you just daisy chain the DMX equipment much as you would fascia mounted throttle plugs. As always, YMMV but DMX seems like the best option for me personally.
Forgive my images, this was while I was installing, while wires are hanging temporarily, before I got the peninsula hung from the ceiling, and while I had the skirting taken down. It does look much better now. One side note, I did reduce the valance from the 12" I started with, as it tends to shade the front edge, and now believe 4-6" to be about right.
All the best,
Andy