Please do not touch bats, even if they do not carry diseases (most do not) they are incredibly fragile and spook easily. Larger varieties can be handled safely if you are trained, but for the protection of both yourself and the bats, leave them alone and appreciate them at a distance.
I’m pretty sure a woman would be fascinated if you gave her a bat of any size. She’d be like “hey, a bat”. If someone came up to me and handed me a giant bat or even a regular sized bat, I’d still be like “neat”.