I want to set the record type on a task I have created in apex with code similar to below but I don't see any property on the task object where I can do this, any ideas?

 Task myTask = new Task();
 myTask.Subject = 'Follow up task for opportunity';

The bigger problem I am trying to solve is create tasks in a trigger on opportunity creation. I can do this ok but I want to make sure they can not be deleted without affecting the delete permissions on any other kind of task. I thought about doing this by creating a task with a different record type so I could assign a page layout to it where the delete button is not available. I don't know if there is another way.