If there’s no internet connection during ripping, the Core will perform the online lookup when the connection is restored, so you should be fine. It may take a little while to get through the backlog, but in theory it will get there sooner or later.
You could buy a cheap long length ethernet cable, pretty cheap off amazon and just run out of a window etc to your cabin when ripping, or as Chris says-it should get there in the end once plugged in in your main house, would take some time.
It’s a tricky call as I have had a significant number of discs that I have had to tell the Core what they are - either because they come up as the wrong item, or as no item. If you have loaded 4000 discs and x don’t have any metadata at all, or are shown as the wrong item, it will be a right royal pain to identify them and fix. Whereas if you notice just after loading it’s a much easier job. I have no idea what % your collection might be but on transfer of my collection from unitiserve to core it was 0.5% to 1% and it took me weeks to sort out. It was a bit easier once I started to use Shazam though!