How about if you can carry your team flag...
If you can make it so that it's not just going to be abused, like taking it and running to some place where it's going to be almost impossible for the enemy to retrieve it.
If it's done right then it's much more engaging instead of having a whole team bunkering down after taking a one point lead, but it's more difficult to make as well with a whole lot more to think about for it to not be abused.
The most basic but still important measures would be to not let anybody carrying their own flag get anywhere near their own spawn and to not have the defenders come back to defend faster than the aggressors after death. The point of carrying your own flag would be to run around and try to survive to stall as long as you possibly can but inevitably the enemy would eventually knock you out so that it doesn't grow dull. The flag carrier should probably recieve penalties to make it difficult to survive if he's trying to fight back head on to put emphasis on being on the run and for your team mates to do their best to protect you, reducing healing recieved (or maybe not letting them get healed at all.) could be one such thing, you'd obviously have to think about what's appropriate for your own map here.
Lets say that you have the penalty to not allow flag carriers to be healed; there could be a few check points in each teams territory that allow the flag carrier to pass on the flag for a switch with another team member to try to carry the flag to another one of these locations. (Probably have something like 3 - 5 of these to leave room for some options but not make it too easy.)
This would encourage constant movement and no dull moments, with constant switching of the flag carrier role nobody will feel like they're stuck with it (Regardless if it's because they lost it to the opponent or that they passed it on to a team member.) and it would feel more fair if as an aggressor you have just struggled to take the carrier down but he manages to pass it on before he dies instead of just having some team member show up and heal him to full health.
There could be special short cuts reserved for only the enemy in the territory to make it less difficult to get flags from the opponents side to your own but harder to get the whole way back since eventually the short cut advantage would switch instead.
Obviously the flag bearer should have their movement speed reduced a bit so they won't just blaze through the map without letting anybody to catch up.
Like the minimap is showing where the flag is located but you have no vision of it. Bad idea?
Not at all, it's pretty common to ping the minimap at regular intervals with one red and one green to show both of your and the enemy flag locations. And honestly I wouldn't mind giving vision to have the flag bearers being revealed to the enemy completely.