I would wait until Tuesday at the latest to see if repair facilities come back online at Jaques. There are rumours that a month-long CG might be needed to fully repair the station but I know many commanders have been delivering meta-alloys over the last week or two so I'm hoping that something will change early this coming week. I should arrive tomorrow with a full hold of MAs myself and I think many of those out here would like for their activities to be able to affect things without needing a CG. If it doesn't happen, though, I would make sure you get enough jumponium to get you to Beagle Point whilst there are miners around to help you: there's no guarantee you'll meet anyone with a mining laser between Jaques and your destination. Put a post in the Exploration subforum asking for help gathering materials, and/or one of the Jaques station threads (
https://forums.frontier.co.uk/showt...Station-EOL-PROU-nebula-and-the-barnacle-hunt ) and there will be people willing to assist. If not then give me a call; I'll mine them for you.
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Getting to BP and back with 42% hull and no shields is possible but risky. At least, it would be best to keep planetary landings to a minimum. Be careful when flying around asteroids and other ships getting screenshots. I made the return journey from BP without taking damage (having taken a bit on the way out) but I had shields and did not make landfall very often. Be honest with yourself with what you think you can achieve and how much of a risk you are prepared to take. There is no shame in heading back to the bubble for repairs.
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I think, in your position I might be inclined to head for Sagittarius A* or some other sights in the Galactic Core. If Jaques still does not have repairs back online by then, I would probably be inclined to return to the bubble for repairs. Once you get to the far side of the Galactic Core, you're closer to BP than the bubble and going back becomes much more difficult.