Hmmm, if you have a lot of stone, you could extend your stone cellar, but picking, dressing and laying stone takes some skill and a strong back.
You could
berm up the sides of the existing structure (with umbrella), at least on the North side. If you are unsure whether your walls can take the lateral load, you could separate the berm from the house with a small courtyard or side yard, and top the gap with the
greenhouse covering of your choice.
Putting dirt on the roof is often more of an aesthetic or ideological choice than a practical one. A well insulated roof with walls and floors exposed to the "umbrella" covered earth will be far less complicated and costly to build and maintain. Still, a green roof is really cool.
It takes a tremendous amount of discipline to keep construction costs from creeping ever upwards. What your SO (if applicable), and you, ultimately wants (not what is discussed and agreed to in the design phase) can be a huge complicating factor. Designing with a mind for resale is a practical approach. Don't overbuild for your neighborhood (floorspace, bathrooms and finish), unless you are willing to take the loss. You may also need to consider code and insurance requirements.
Whatever you decide, have fun and good luck!