Tomas, there are several potential problems to overcome with running solenoid valves on and off at 10 Hz.
The first is mechanical resonance of the internal spring and the mass of the internal parts. It may go into "pogo stick mode" and start bouncing uncontrollably.
The mechanical resonance frequency must be avoided.
Either run it much slower so it does not bounce, or faster so it may possibly be PWM controlled, but at resonance it will make a very nasty noise, be uncontrollable, and may rapidly self destruct.
Unfortunately 10Hz is about in the middle of the range where many of these small solenoid valves very often go totally nuts.
Anyhow, try it and see....
The higher the applied voltage, the faster the current and the resulting magnetic flux will build up.
There are tricks to doing this, such as pulsing the valve to a much higher voltage for a very short time, then reducing the voltage to just above where the valve will release.
Pulse and hold automotive fuel injector drivers do this, and some research into these might give you an insight into this type of driver.
Fuel injectors after all, are just solenoid valves anyway.
You can always build a custom driver circuit to suit your own specific needs.
The higher the voltage can rise across the valve during release, the faster the magnetic flux will collapse.
An inverse diode is absolutely the worst way to do it if speed of release is important.
It clamps the turn off voltage to only 0.6 volts and extends the release time hugely.
That is the purpose of snubber circuits, they allow the voltage to pulse much higher than the operating voltage to speed up release.
How high you can go depends on how much voltage your switching transistor can safely handle. MOSFETS are far better than bipolar transistors in this regard.
Try putting a reasonably high powered zener diode in series with the inverse diode across your solenoid, it will help a lot to speed up release.
Snubbers work two ways, you can either dump the inductive energy into a capacitor, and bleed it off with a resistor, or you can just clamp the voltage with a zener diode. Either way the power that must be absorbed might surprise you if continuous operation at 10 Hz is required.
However you decide to drive your valve, it is not going to open faster, or close faster than the mechanical resonant frequency, whatever that happens to be.