For high speed switching of an 120 VAC or 240 VAC load, you can use dual IGBTs as shown below. The IGBTs are wired back-to-back so each one is controlling a half sine wave. By having one control input, you can trigger for any time period. The Power-io product is the HDD-6V15. Each requires a MOV, such as a V250LA40B for voltage surge reduction.

For more information, please visit: HDD-6V15 IGBT modules and IGBT heat sinks.