Changing post_title and post_name

For a custom post type, is it possible to pass variables to change the post_title and post_name based on information located in custom post fields?

What I have done so far is much more involved, but the gist of the problem lies here:

$my_post_title = ($event_team ." vs. " .$event_opponent ." - " .$event_date);
$my_post_name = sanitize_title_with_dashes($event_team ."-vs-" .$event_opponent ."-" .$event_date);

	if(isset($_POST['post_type']) && ($_POST['post_type'] == "sport_event")) {

		// Create post object
		$custom_title = array();
		$custom_title['ID'] = $this_post;
		$custom_title['post_title'] = $my_post_title;
		$custom_title['post_content'] = 'This is a custom post of the sport_event type. If you can see this text, something is wrong';
		$custom_title['post_name'] = $my_post_name;
}

I have tried the save_post, wp_insert_post, wp_insert_post_data, and a few others. The ones that work to update the database create an infinite loop and add a few hundred post drafts. The ones that stop short of initiating an infinite loop fail to change the values in the database.

The alternative would be to create custom fields and treat them as the post_title and post_name, but for reasons I won’t bother with here, that solution would not be preferred.