That's a nice idea, except it should be pointed out that in space, a collision hazard is more a matter of direction than distance. There's no atmosphere to slow things down, so the particles will maintain their velocity and intensity over just about any distance.
So maybe the safe thing to do would be to overshoot the populated portion of a star system and come out of warp pointing away from it (while making sure you weren't pointing at any other inhabited system you knew of), then loop around and come in at sublight.
Come to think of it, though, I believe the particles would not be particularly hazardous to inhabited planets. After all, Earth gets bombarded by relativistic particles all the time -- cosmic rays -- and they're safely absorbed by the atmosphere. Not to mention all the meteoroids and bolides that burn up in the atmosphere on a regular basis. The atmosphere is a pretty effective deflector shield for the planet. So this would really only be a danger to other ships and stations, which are much smaller targets and much less likely (though not impossible) to be hit accidentally.
True, the planet's occupants are quite safe, but any orbiting habitats and satellites wouldn't be. Overshooting would be a good idea, but dropping the rings which would be a good 2/3rds of the vessel's mass would still be prudent for intrasystem mobility. Think of it like a semi truck dropping its trailer.
Why does it need to pop up? Having a bridge on the top of a ship is a custom from old naval vessels where the commanders needed to have a high vantage point to see what was going on, but it's just an affectation for a spaceship, and a very unwise one, since putting the command center on the surface of the ship makes it vulnerable to attack, radiation, meteoroid impacts, etc. As long as you've got sensors and viewscreens, there's no good reason to expose your command center like that. Heck, even submarines use periscopes. Ideally the vital areas like the bridge should be fairly deep inside the ship.
Strictly speaking it doesn't *have to* pop up, but it's there to keep the designers happy. The ship's core is basically just a big can with a couple windows and some ring support pylons. Engineers like to put little flourishes in designs and the least I could do is give them a bridge module that elevates 4 feet to give an outside view to the bridge crew. In a battle situation, it goes back down and the bridge egress lift locks out in the event of an intruder alert. By the way, the lift is added security due to it being the only way in or out. Also, in the event of an emergency, the bridge module can eject and keep the bridge crew alive long enough to dock with a shuttle.
As for the rings that are left behind, I thought about leaving them under computer control or having a minimal crew stay behind in a pod just in case they need to be moved. Maybe a computer can be trusted to move it to where it's asked, but if hostiles are around, I wouldn't want to park my car with the windows down and the keys in it. So, if needed, a habitat/control pod will drop from the center ring on a scissored pylon that will sustain a small engineering crew for 2 weeks. This pod will be about twice the size of a large tour bus and will get its power from the shuttle that docks with it. This shuttle will also be the source of power for the rings while the ship is away. Obviously the range of this situation will be limited but it should be sufficient to get out of harm's way. But usually, in a non-hostile situation, the pod's computer can handle monitoring and stationkeeping duties.