All I can say is EVERYONE builds their stands much much much much much stronger. If you want to risk 300 gallons dumping out into the living room one day, go for it. I would still strongly recommend reinforcing the span with steel angle iron at the very least.^I haven't used the woodbin calculator before, but I can't configure my setup above in it, namely due to the second sheet of plywood. The second sheet is what makes this work. I've assumed E=1.3x10^6 psi for stiffness, and δ = 5 q L[SUP]4[/SUP] / E I 384 for deflection.
Acrylic is stonger than glass, but it is FAR less rigid than glass. You'll notice significant bowing across the front panel simply from the weight of the water pushing it out and this is completely normal.