You could try the AG Paint restorer but I'd avoid the T-Cut as it gives those lovely dull patches on the paint once you've used it.

SSR 1 is mild... probably to mild in my opinion. It's fantastic for cleaning away buffer haze and bring up a shine to the paint (could be used after using T-Cut....) but, if you wanted to try aother product to actually remove the swirls by hand (and as Gaz says it's a hell of a job ultimately without a machine), then I'd go with the SSR 2 .... We get the most success with this going by customer feed back, and in our four years, it's by far and away the most popular polish for hand use (closely followed by Prima Swirl), even amonst alot of European car owners (BM's, Golf's etc) which are renowned for having very hard paint.

Hope that helps.