Are the panels going to be right next to each other so you can make 1 long LED strip per side or do you need to have separate LED lights for each section of screen?
Just going off what I am guessing, a total of 28" long and 5" tall, I would think a single strip would work per side, 14 LEDs per side (2 LPC-35-700 drivers) or if your going to go with China LEDs you can use one Meanwell ELN-48-60 driver and put each side on a string and then wire them in series. You have to crank the meanwell driver to max (should put out at least 1300mA) so you can run each side at 650mA, which is perfect for "China" LEDs, anything that is 700mA. Cree LEDs today can be run up to 1500mA.
I have not seen any reason to not go with china LEDs to save some $. The only thing with China LEDs is their failure rate is MUCH higher than Cree/OSRAM LEDs. Out of 100 "china" LEDs, you will be very lucky if at least 10 don't burn out the first week, so order extra LEDs if you go that route.
For home/DIY style stuff, China LEDs are fine, if I were to make LED lights for other people, I wouldn't even consider using them because the headaches I would have to deal with every time an LED burns out. If I did this for someone that isn't local, I would imagine the first time it needs to be shipped back/returned for repair would completely offset the cost of the higher quality LEDs, but if you can DIY yourself and have no issues replacing LEDs, then you're fine.
So, just comes down to budget. If it were me, and the budget was there, I would go with OSRAM LEDs because they have been perfect for me. Even in very wet/humid conditions they have worked flawless since day one and going on close to a year running 12 hours per day.
Only issue I can think of is if you wanted to "experiment" with different types of LEDs. When making a "strip" type light, it doesn't really allow for much customizing of LEDs vs putting LEDs in a square pattern, but that really shouldn't be an issue because 660nm LEDs all by themselves seem to do the job just fine without getting uber fancy and adding different types of blues and reds to the mix.
Getting looong now.. but I just re-read your question again. If you really want to know what *I* would do, I would not make a long strip ATS, I would go with something more square like vs rectangle like. Then I would be fancy and add the blues (420nm and 455nm) and reds (630nm-660nm), but even I think I am crazy and over thinking it. So, there you go, 2 answers, one "what would I do in your situation" and one "what would I do in my situation".