It's not your fault. It's your fault if you stand on the curb for an hour.

If you have no transportation 30 minutes after block in take your own and expense it. If you have no hotel reservation get a room at whatever it costs and expense it. I would pick the normal overnight hotel if they have a room. If they do not pick any hotel you like. You will get paid back.

If you have no transportation to the airport do what you like but I generally wait for them to sort it out.