I may have found a way. Just for testing purposes I made a copy of your news page (I really hope you don't mind) and tried to keep it the same as much as possible, while implementing RSS functionality.
You can see the result here:
Looks almost the same, except for the distance between the last item of a day and the date of the previous day. The way I did it, it's not possible to change that distance without changing the distance between the items as well. The other difference, although not visible for visitors, is that it will take a little more effort to add items. Not that much though. Perhaps 15 seconds longer per item than usual.
What I did:
I downloaded the rss2html script (you can find it with Google).
I made a copy of the news page
I made the news page a bit more suitable for testing.
I created a template based on the news page, but with added RSS functionality.
Uploaded it all to my web space and started testing.
That's about it. I tested the feed in my RSS reader and it worked.
It's quite easy to "install". I can send you everything you need if you want to. You can then just upload it and it'll work.
Of course there are also other ways of creating RSS feeds for your website. There are multiple websites that offer to create one for you (paid and free), but the free ones have the catch that they only refresh every 6 hours or more, so it's possible to get the news hours after it being posted.