Its so hard to think of a new series...
but i have something clear in my head,i want the series to be after VOY and Nemesis,in that timeline,maybe the Uss Titan with Riker and Troy,and let the Enterprise and Voyager make many appearances in it. maybe the Story of Species 8472 Alpha Quadrant invasion.
The novels feature the Titan having Tuvok on board if that interests you. No 8472, but a lot of Borg stuff. The Destiny trilogy by David Mack might interest you based on what you seem to post. It focuses on characters from all the series save TOS (including Enterprise worked in cleverly via relevant flashbacks) interacting to fight a Borg invasion.