I've just noticed that the Trenitalia website appearance is somewhat different when searching routes, at least when using the Italian section of the website (I haven't checked the English site). Search results are much cleaner and clicking on the double arrow between the two stations allows a quick check of the return times. Clicking on the arrow beside the price shows the best price available at the time.
The website was different when I was using it yesterday, so the changes are a nice improvement!
(They're still not showing any solutions beyond June 13th, but it's possible that at least some of the new schedules may be posted before that date).