It seems like SendKeys are not available for Android (except for in a test-SDK) so I guess I can give up the idea of simulating keypresses to scroll down a page in a WebView.
However, I noted that Webview has some methods called PageDown/PageUp (although not implemented in the current WebView-library) which could also be a solution but I am afraid a PageDown would be too much for scrolling the way I want. I want the scrolling to be slow and smooth, more like a line at a time.
What about Scrollview? Can it be scrolled programatically? If yes, maybe I can add a panel which embeddes a WebView? Is this possible?