If you really want a Swede, by all means, build a Swede. Match grade brass is available. It is an accurate cartridge. If you build it on a long action Savage or a medium Mauser 98 action, there will be some interesting things you can do with the throat/COL in addition to running at 6,5 SKAN pressures. Think running 140-147gr match bullets on the long side of book COLs.
It sounds like you want a custom rifle that is yours. There will be many like it, but this one will be yours. In that envelope there is really no difference between building a 6.5CM or a 6,5x55 other than the chamber reamer used. I don't believe the 6.5CM is any more inherently accurate, although it may be more efficient. If cost/time is the concern, a 6.5CM that's already set up will be the easy answer.