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I reckon you can manage if you plan properly with your calendar then pick a few of the longest boards to lay down the middle and walk over them and the joists while you're doing the work.
Unfortunately it's the sort of job where I expect you'll struggle to get a reasonable quote as it's a small job and not very nice job. It's peak season, so you're going to need to find someone who can fit it in between other bigger jobs, or can do it while skiving off their main project.
Yup, it's the last jigsaw which is the hallway, which is very narrow.
It's either inaccessible hallway for several weeks, or get it done in a couple of days.