I think Josh's point was to not wait for them to fly you out, but to fly out yourself. As rokhayakebe noted, say you'll be in town in two weeks and set up a meeting. Perhaps Google has streamlined the process to fly you out, but it still isn't as easy as "Great, check in at the front desk on Wednesday at 2PM". If meeting is a much bigger deal to you than who you're meeting with you need to do what you can to make it easy for who you're meeting with.