Is it
this one? If so, please note that, depending on how the two switches are set, the release time can extend to as long as 900 seconds. This is probably controlled by selecting the output of an internal counter for the longer intervals, with an adjustment to set the frequency applied to the internal counter. Note that the ranges do not overlap, implying there is some minimum frequency that is counted when the control is set to minimum delay. I doubt there is anything you can do with this device to reduce the minimum release interval, so perhaps you should consider a solid-state switch coupled with a 555 timer circuit.
Is SPDT operation required, or will SPST normally-open contacts suffice? Do you want the solenoid to operate immediately upon actuation of the relay, and then release after a time delay when the relay is deactuated?
Omega Engineering (as well as other vendors) offers a large selection of solid-state relays for switching either DC or AC power (but not both in the same package... pick one or the other). They also offer industrial timers, but this is probably overkill for your application. A simple RC circuit that maintains the "ON" condition for a few milliseconds when commanded to "OFF" may work for you, depending on what kind of timing accuracy you need.