Your room is 10 foot long and 7.5 foot high you should get about 35-40 plants and only use 3 to 3.5 foot you can build one on the oposing wall and put your lamps in the center of the room.

you would start with getting 3" or 4 " pvc pipe and snaking it up the wall like pic one shows. The red marks is where the plants are placed in pipes in rockwool.
the green square is the water inlet and the blue square is your water reserviour. and you would run your pump up to the top and let gravity pull your nutes and water down to the water again.
Sorts of like a drip system on steroids.
The yellow streaks are your 4'florescent lights standing up.
Or you can do opposing walls and hang your lights in the middle. and place 2 box fans in opposing ends as well.
maybe total cost 300 us.
plus a good pump that will push water up to the top of the whole thing maybe 5' . you could get easy 35-40 plants. and with 3 or 4" pvc you shouldnt totally clog the pipe unles you have one hell of a root ball.
in the second pic I am using only 1 1/2 unch pvc and its working great. But will clog when they are bigger so i need to build a bigger living wall.
Any questions ask.
I didnt know we had a PM on here.