Get some heavy colored poster board and put it under the tank where you suspect the leak is at. Put something under it to raise it off the floor, so the pooling water doesn't soak it from the bottom. You may have to cut it to size considering how tight everything is under the deep end. Just make sure it lays flat otherwise the water will collect at the lowest point obviously.
The colored poster board will locate the leak general area by catching the drip pattern. The color will dilute as it gets more wet. The first point of contact will be the lightest then progressively darker as the water soaks in. Use something like red or orange. Nothing too dark or too light.
You can also take some waterproof putty or clay and form a ridge on the underside of the tank. This will give you a clear picture of what side the leak is on. It's difficult to find leak locations when the tension causes the water to move along the surface until gravity wins out and it finally drips. This allows you to isolate sections of the bottom to narrow down the leak location.
I don't think it's worth letting the plywood get soaked as a result of letting it drain down. Although, you could partially fill it, like 3 inches at a time and see if it leaks after a couple hours. Time consuming, but filling 6" of water and having it drain down an inch is better than filling it up and letting it drain down the full amount to the leak.