And you need to check the slew rate, 10Vp at 30MHz is 1885V/us.
Or three or four. Generally the slew rate capability will be degraded when an amp is used near its maximum output-current capability. Furthermore, when driving a capacitive load the current maximum occurs as the output voltage goes through zero, a situation that maximizes each amplifier's power dissipation.
Also, be sure to add a ballast resistor for each paralleled output, say 0.5 to 1.0 ohm.
Even so, the 2kV/us slew rate is typical, not a minimum spec, and furthermore is uncomfortably-close to your requirement.
In bridge form each amp only needs 942V/us, but that's still a bit past the AD9815's specs. You can solve this with some turns step-up in the transformer, and give yourself some good slew-rate safety margin. Again, if you use two AD815s (four amps) there'll be a better safety margin. Use separate feedback resistors for each amp's gain setting, and also ballast the paralleled amps. This will also help to prevent the AD815 IC from oscillating.