I do not think you can do this. A Swedish aircraft in their home built category cannot be flown in this country without specific permission and on a very temporary basis.
The Cap 222 was never certified because the money to complete the job was lacking once it became clear that a substantial redesign was needed following the fatal crash in France when the rear end detached.
The Cap built 202 that was operated over here was on a CAA permit I believe. It may be that you could get one of those but that or an EASA permit seem to me to be the only hope.
I hope I am wrong because the 202 is a wonderful bit of kit. But this is my understanding of the position anyway.