I'm afraid there is no easy solution for this.
Yes, and no. There is no "easy" way to herd cats, but it doesn't stop us doing it.
Some moons ago there was a guy in these forums (who looked a lot like me but with much less grey hair), who kept saying "The model is NOT the system". Again this is applicable here.
Firstly, I do not recall seeing any legislation anywhere that says there can be only one EA model of a system. Like the photos of the kids, we take lots of them but only keep the ones we like. Yes, it may be a bit disconcerting to throw out a particular photo of Jimmy-boy or Mary-lou if we spent hours designing and creating that particular fancy dress costume, but if the kid looks like (whatever) in it then....
So, every (any) time a new possibility for the system comes along, copy the model, play with it, dress it up, nurture it and if it becomes a nothing then throw it away.
Secondly, if it does become something (someone makes a decision to go ahead with the proposal) then decide whether or not the changes are likely to become a branch or are likely to become merged into the mainstream. Branches are pretty easy to handle, they're actually a different system.
Save the "proposal" copy of the model with the proposal. You'll need it later on!
Save the current mainstream model too. Your support staff need it. Don't merge until the changed system becomes the mainstream. (Why so many development organisations don't do this is totally beyond me. I don't know how many times I've asked for the "specs" of the current implementation only to be told, "Oh, they've changed now for the new release".)
So we've now got a mainstream model and a proposal model. The latter should only reflect the requirements for the changed behavior of the system and perhaps some POC structural engineering. (Guideline! ymmv) Now, build another model from the baseline mainstream model and the proposal model as the
change model. Clearly distinguish the changes using all those EA wizbang features like "Change requirements". Mark all usecases, system artifacts etc clearly as unchanged, changed, added, deleted (N.B. Don't delete them from the model!) or whatever categorization suits you. Enforce the traceability. This model becomes the work order for the developers.
Thirdly, after the change project has delivered, "finish the paperwork". Save the change model, merge stuff where necessary and properly finalise the project.
"But doesn't this add overhead and increase costs?" Well, think of it this way, you can try to drive the car, read the roadmap, put on your makeup, answer the mobile and change the babies nappy all at the same time but in my experience stopping the car to change the kid is a lot safer for all concerned.
cheers
bruce