Yes, with any of our VPS options we can adjust the execution timeout for scripts — just file a support request via your Atomic Dashboard.
Depending on what the script is doing and what you are looking to accomplish, you may need to purchase a dedicated RDS (Amazon’s Relational Database Service) instance.
If you’re currently experiencing database corruption issues due to your script getting terminated prematurely, switching to Pagely should resolve this issue for you. Our flexibility in delivering more sophisticated configurations and insights is why we are heavily trusted for Enterprise WordPress hosting.
For pricing options, please contact sales.