Hi again,
Good to hear it powered up! So at least the 'power side' of hte backlight, as well as the tubes are kosher. Guess its all about the process of elimination.
In situations like this, I generally first scour ebay for an entire 'replacement board', as you probably did, just as back up. Its money, but it's a fall back plan in case you release the magic smoke out of your crrent board whilst testing. So again, good call on that!
Now, if the power supply *did* fail (perhaps not the power to the backlight inverter, but the logic board) there is a chance the logic board is fried. In my experience, its never 'everything' thats freid, but usually the chips/semiconductors, most sensitive to power/voltage surges. And thats where the trouble lies - if its the 'big chips' that have gone, replacing them will cost mroe than a new board.
Probably should point out here I have never repaired an LCD/plasma tv, but I've done my fair share of portable dvd players, laptops, netbooks, ipads etc.. (as the components get smaller, my eye sight has started to fail lol).
I usually start with a good 'ol multimeter, probing the board, and looking at it to find out where the power lines are. And checking those for shorts. Sometimes you get lucky - as with a recent 2.5" SATA harddisk I debugged - and the power lines are shorted because a TVS diode blew, and shorted across the power lines. Replacing that sorted it. But as its going to be a complicated board, it may be a case of getting as many part numbers of the devices as possible, googling for dataheets/pinouts and checking the power pins of each device. When semiconductors fail, be it catastrophically, or just a single IO pin, they close circuit (sorry if you know all this). So with one probe attached to the system ground, and using a continuity tester on your meter, which should bleep for <200 ohms, see if you can find areas/pins/devices which really shouldn't be shunted to ground by appear to be so. I usually start with all the power lines ( shouldn't be <100ohms to ground or power) and all the input/output connectors on the board. Knock on wood, the decoder chip on the board is fine, and its something minor, like an on board switching power supply.
One godsend in repairing, is, google. I realise since you've posted you've probably trawled the web for any information/similar problems, but its always great when you 'ping' a forum post where someone has the same problem, and a random guy replies saying 'check D405 for short as its a common problem'. Gives you more stuff to check
Now, what if the board is actually fine? Then it seems to be a case that, its not displaying anything because it's not getting the signals it expects fm other parts of the cicuit (like 'power good' signals, or IO flags from other bits of hardware to tell the board everything is fine) then you could look at what is attached to this board, what comes out of it (control signals, display lines, LED status outputs etc..) and what comes into it.
I've never had training in repairs, just far too many years 'taking crap apart' and fiddling, so take my psots with a pinch of salt

I have destroyed a lot of stuff in my time.
Good Luck! And if you're stuck, I'll continue to throw idea's out, and let you decide if I'm jsut ranting or if it seems worthy of a check. Also a photo of PCB's, and the part number of the tv should get others on board. Aside from 'a picture telling a thousand words', PCB's are basically digital erotica for guys like us
