Nasuh
Hello Captain, What do you mean when you said saying without "blowing out whites"?
I don't have Photoshop, this following is done with Black and White button in my favourite free image editing tool (the software name is called
Paint.NET).

From what I see, there are more white dots in your edit, also the lines between each leave is more clear. Are those how you mean by saying high black and white contrast?
"Blown out" is a term used to describe the highlights that are over exposed to the point they lose details.
By high contrast, I mean the blacks are truly black and the whites are truly white as opposed to a grey cast. (Notice on your edit, how there is a grayish tone rather than true blacks)
Now, in any other image, white dots would mean background noise. However on my image, it is snow. ^^
Background noise is also common with bad black and white conversions.
If you haven't already downloaded it, I would recommend trying out GIMP. It is almost like Photoshop.
3nodding Jonathan Uriah Denney
Guild Owner
Photographer