Here are some name suggestions based on your provided data, aiming for a blend of elegance, strength, and playfulness, suitable for registration:

Drawing from "Frenchman's Cutie Pie":

• French Kiss: Simple, elegant, and hints at the French origin.
• Petite Fleur: (Little Flower in French) Captures the "cutie pie" aspect.
• Chérie: (Darling in French) Sweet and sophisticated.
• Belle Rose: (Beautiful Rose) Combines French elegance with a floral touch, referencing "Rosa."

Incorporating "Monster," "Lady," and Strong Elements:

• Lady Monster: Bold and memorable, juxtaposing strength and grace.
• Corona Lady: Elegant and powerful, using the regal "Corona."
• Streak of Lady: Combines the speed implied by "Streakin'" with feminine grace.
• Willow Reign: Combines the gentle "Willow" with a sense of power.
• Monster Willow: Unexpected and memorable, blending contrasting elements.

Using "Sunshine," "Rosa," and "Willow" for Softer Names:

• Sunny Rosa: Bright and cheerful, combining sunshine and the floral name.
• Willow Sunshine: Evokes a gentle, radiant image.
• Rosa Willow: Simple, elegant, and floral.
• Sunshine Willow: A bright and airy name.

Names incorporating SWF (assuming this refers to a suffix or marking):

• Many of the above names could incorporate SWF as a suffix or could be adapted to include it (e.g., French Kiss SWF, Corona Lady SWF). The best approach depends on the specific meaning or significance of SWF.

Important Note: Before registering any name, always check with the relevant breed registry to ensure it meets their specific naming guidelines and is not already registered. The names above are suggestions and may require modification to comply with registration rules.