MapTiler Cloud can host your geodata. You can either create your MBTiles file by MapTiler Engine or any other application.
Upload your map to MapTiler Cloud
After you sign in to MapTiler Cloud, go to Tiles in the left menu and click on the New Tileset button. This will lead you to a page where you can either drag and drop your map in MBTiles format or browse your computer for the file.
Use your image as part of the map
The image (tiles) can be used as part of the map itself and rendered altogether with map tiles. This allows you to do things like rendering streets or labels over your image while keeping buildings and landcover under.
To enable this, you need to go to Maps, click on one of the standard maps, and select the "Customize copy" option, which is hidden under three dots just below the map. This will redirect you to the map editor, where you can visually or by writing a code change every possible map element.
Here is how to insert your dataset into your map:
Go to Sources in the left vertical menu (the little puzzle symbol).Click the plus sign to add a new data source.
Search for the name of your data source.
Click the Add blue button (down below) to add it to your map.
Once you do that, the dataset will appear on the top of your map.
If you want to change the order of layers and display some of the map contents over the image you have just placed into your map, switch from the Blocks view to the Verticality view (left bottom) and drag the layer which represents your data source down in the menu, until you see the desired features on the top of your layer.