Eviction should not be a problem.Typically in my experience there arent alot of bats hanging in such places, just a single or a few at best.Umbrellas found on patio tables all seem to be other good spots a single or few bats seek out for harborage.
Lightly spraying some clean water from a pint or quart pump spray cleaning product bottle onto the bats will cause them to fly off without any harm to the bat(s)giving you a bat free work window.You may find a suitable bottle at home that can be cleaned out adequately or you can purchase a new clean bottle spray units at a home depot or lowes at times.
Coordinate and select your solution first prior to eviction. Finishing exclusion material will be dependant upon what you will be allowed to use according to acceptance by the customer. I think a stained sheet of luan or 1/4" exterior plywood, may be attached to a dropped down level framing face mounted several feet down from the peak. Then you will need to fill in the gaps around the edges with cut angle boards leading under the framing to prvent crawl unders to the tight peak areas now being used.
Stapling a heavy guage plastic or vinyl over the interior joist peak board surface area preventing access to the tight jointure areas may be an easier faster fix but wont have as good as a cosmetic finish as a plywood completed job.
We have done many similiar type jobs on certain log home designs. I built a removable custom frame to fit the problem area then cut and stapled a vinyl pet screen material found at Lowes to make a rigid screen panel. Be sure to use stainless or non rusting staples. Then it is just a matter of mounting the frame and covering all the squeeze by areas.