Flash the paper will bring this in. Non Destructive also.
Combine with or use split filter printing alone. Start with low contrast, then when the peak is correct, add density with high contrast filter.
You might try masking, single mask to hold everything back except the white.
Also try a small cut out slightly smaller than the size of the peak and lay it right on the print. Move slightly during exposure.
Definately go with a diffusion enlarger if you are not using one.