Car ferries Dubrovnik – Mljet – Korcula – Hvar – Brac and finish in Split

We want to go from Dubrovnik to Mljet to Korcula to Hvar to Brac and finish in Split. is there a car ferry that would let us do the island hopping without having to backtrack?

Drive from Dubrovnik to Prapratno, take car ferry to Sobra, Mljet.
https://www.croatiaferries.com/prapratno-sobra-ferry.htm
Back by same ferry to  Prapratno. Drive to Orebic, take ferry to Domince,Korcula
https://www.croatiaferries.com/orebic-domince-ferry.htm
Back to Orebic, drive to Drvenik, take ferry to Sucuraj, Hvar
https://www.croatiaferries.com/drvenik-sucuraj-ferry.htm
From Hvar, take car ferry from Stari grad to Split
https://www.croatiaferries.com/starigrad-split-ferry.htm
or back Sucuraj to Drvenik ferry, drive to Makarska, take ferry to Sumartin, Brac
https://www.croatiaferries.com/sumartin-makarska-ferry.htm
from Supetar, brac take car ferry to Split
https://www.croatiaferries.com/supetar-split-ferry.htm

See ferry map here
https://www.croatiaferries.com/maps/split-dubrovnik-islands-ferry-map/