Sorry, but it's simply not correct to say that a dual action machine is in anyway less capable than rotary. With the correct pad and polish for the job, they are every bit as capable of correcting even quite severe swirling, it just takes a little longer to do that's all - but it's not a race, just do it at your own pace.

That kit from the guys at polished bliss is a good one, and the Menzerna 203S is a superb and very versatile polish that can fulfill a lot of roles depending on the pad it's being used on (and it's also great and very capable of correction by hand on Ford paint for tight areas that you might not be able to get the machine pad into).

Having said that, I'd go with a twin polish set up of Menzerna PO85RD 3.02 Power Finish (formally called Intensive Polish) for the correction work, and then the PO85RD or RE Final Finish for the refining stage (if required).