Best location to propose in Hakone

Hi all, I am going to travel to Hakone with my girlfriend in Late August and would like to propose to her during our stay in Hakone.

I have made some researches and considering the following locations for my proposal:

1. Gora Park, in front of the fountain or in the rose garden
2. ⁠Sengokuhara Susuki Grass Fields
3. Onshi Hakone Park, in front of the Observation Building or in the viewing platform
4. Hakone Shrine, in the red gate of peace

I am looking for some advice on the above spots. Which one do you think should be my 1st choice for proposal? Besides the above spots, are there any other location good for proposal?

Besides, I am driving by myself, is it possible to visit the above attractions in one day?

Thank you very much!