There 4 investigators left unused from original Arkham Horror:

Amanda Sharpe, Bob Jenkins, Monterey Jack and Mandy Thompson.

From 4 of this, I can see only one fit for a local face-to-face with evil advanture - Monterey Jack.

Amanda's and Mandy's researches won't help as won't help Bob's money here.

I think, Zoey perfectly fits for the next medium box expansion.

Her starting items could be a Knife and a Cross.

Something like 13 stamina and 7 sanity, +3 skill points.

Knife'll have 2 damage and +3 to the stat test during attack with it.

Cross will have some horror check bonus or something.