Definitely Brassavola, probably Brassavola nodosa, or maybe one of the B. nodosa hybrids. If you plan to maintain it in a basket it doesn't need to be reported right now. If you do, easiest to just buy a big enough basket to slip it in old basket and all, no new media needed. If you want to remove it from the basket, wait until it is done blooming, and has new growth coming. You should be able to see wires or bolts holding the wooden slats of the basket together. Remove those and you should be able to begin to disassemble the basket to get it out. Cutting some roots at that point is probably inevitable. A plant this large could easily be divided too.