I wouldn't expect there to be any problem bringing the plant inside, unless there is a big temp change which could possibly cause bud blast. You can put it in a window with comparable or lower light than it is getting outside. Most orchids grow just fine in lower than ideal light for a limited time (especially just for the few weeks it is blooming) - that has been my experience anyway.
Your Onc type looks to have Odontglossum in it's background - could be Wilsonara, or Odontioda, Odontocidium, Odontonia, ... Truthfully, most Onc alliance intergenerics really do take the same care - some minor tweaks may be needed, which you should be able to tell by how the plant is doing. But - the bloom on yours looks quite distinct, so someone else may recognize it - it is gorgeous, btw