Would love to share the villa!
Begawan Giri would be too expensive for me. And remember, any resort type for honeymooner/couples like Begawan Giri, Aman, Four Seasons, Puri Wulandari, will get us into trouble having party almost until sunset.
Go for more towards big hotels and resorts. I would say Ritz Carlton villas are quite secluded. The largest is 3-bedroom.
Just my two cents.