Is there a way to create a dynamic stylesheet that is built from setting some values in the CMS?

For example I have a DataObject 'Theme Settings' with the following $db array:

<?php class ThemeSettings extends DataObject {
	
	private static $db = array(
		'H1Color' => 'Text',
		'H2Color' => 'Text',
		'H3Color' => 'Text',
		'H4Color' => 'Text',
		'H5Color' => 'Text',
		'H6Color' => 'Text',
		'TextColor' => 'Text',
		'LinkColor' => 'Text',
		'LinkHoverColor' => 'Text',
		'BackgroundColor' => 'Text',
		'HeaderColor' => 'Text',
		'NavBgColor' => 'Text',
		'NavBgHoverColor' => 'Text',
		'NavTextColor' => 'Text',
		'NavTextHoverColor' => 'Text',
		'HeaderText' => 'Text'
	);
}

At the moment I am just outputting the data in the head of the document through the init function:

public function init() {
		parent::init();
		$settings = $this->FetchSettings();
		if($settings){
		  Requirements::customCSS(
    //css goes in here
);
}
}

But I would prefer to be able to generate an actual custom.css file and attach it (so I don't have to add the css with every page load). Has anyone got any ideas how to implement this?

I have managed to do this by creating a StylesheetPage class with the following in it:

public function init() {
		parent::init();
		$settings = $this->FetchSettings();
		if($settings){
			$content = '
			body{
				background: '.$settings->BackgroundColor.';
				color: '.$settings->TextColor.';
			}
			p,li,td {
				color: '.$settings->TextColor.';
			}
			h1 {
				color: '.$settings->H1Color.';
			}
			h2 {
				color: '.$settings->H2Color.';
			}
			h3 {
				color: '.$settings->H3Color.';
			}
			h4 {
				color: '.$settings->H4Color.';
			}
			h5 {
				color: '.$settings->H5Color.';
			}
			h6 {
				color: '.$settings->H6Color.';
			}
			a {
				color: '.$settings->LinkColor.';
			}
			a:hover {
				color: '.$settings->LinkHoverColor.';
			}';
			$filePath = 'assets/css/custom.css'; 
			$fh = fopen(BASE_PATH . '/' . $filePath, "w");
			fwrite($fh, $content);
			fclose($fh);
					
			
		}
	}

	
	public function FetchSettings(){
		$settings = ThemeSettings::get()->First();
		return $settings;
	}

And then just linking the css in the Page.ss template. I am sure there is a more elegant way of doing this than the way I have done, so would love anyone else's input.