Received positive hiring decision, waiting for the offer but not US citizen and in need for a visa. What are my options?

I received a positive answer from a FANG company and they are now crafting my offer. However, I'm not a US citizen (EU citizenship). I've heard H1B is over for this year and I'm now wondering what my options are. I might qualify for O1. No idea if there is a cap as well. This would be my first application ever. If neither O1 nor H1B work, what do you think will happen? Do you know if it's common to relocate candidates for a year and bring them on a transfer visa? Or is it dead and I will need to apply again in some months? I interviewed for a position in their HQ in the Bay Area and it's planed I join one of the teams there. I'm keen to work with this specific team, it's a great fit, so relocating first to one of the EU office would not be the best option (9h time difference). They have offices in Canada but not with product teams. Were some of you in the same position? Do you think they might offer me to work remotely for a year or so? YOE: +10 Position: Sr. product designer Didn't study/graduate in the US, never hold a visa