Whenever an operation like is hingent upon an event, there is always the possibility something will go wrong.
In ASP.NET you can spawn multiple threads and have those threads do the action. Make sure you tell the thread it's a background thread, otherwise ASP.NET might way for the thread to finish before rendering your page:
myThread.IsBackground = true;
I know you said you didn't want to use system process or scheduled tasks, but a windows service would be a viable approach to this as well. The approach would be to use MS Queue, or save the actions needing to be done in a DataBase table. Then have a windows service check every minute or so and do those actions.
This way, if something fails (Email server down) those emails / actions can still be done.
They will also be recorded for audit's (which is very nice to have).
This method allows you're web site to function as a website while offloading these tasks to another service. The last thing you need is for multiple ASP.NET processes to be used up waiting for emails to send. let something else handle that.