I could be wrong but I don't think you need to bleed the system. I replaced
twice (2 vans) that same sensor... unless the coolant is very empty... and
even that...

once I even had the big coolant hose loose and lost a big amount of
coolant...(the one on passenger side that goes to the radiator)... I just
put it back, tighten the clamps top up with coolant and go.

just be sure, check the level on the big coolant bottle frequently and
that's it...

you could order overnight shipping for the part and replace yourself and
drive away