A standard sized Azure App Service runs about a $75 a month. That will let you host about as many ASP.NET sites on it as you want - and there's no VM that you have to manage. Scaling up or out is pretty painless if you need to
A SQL database on Azure runs about $5-$15 a month, depending on how you configure it.
Once you throw in SSL certs and DNS management, you're probably looking at about $100 a month.
You'll want to switch to the Single Database and change the pricing model from vCore to DTU. Then you can pick Basic or Standard and adjust the size and compute resources.
Basic will do quite a lot; I use one to load test our application and haven't hit limits.
A SQL database on Azure runs about $5-$15 a month, depending on how you configure it.
Once you throw in SSL certs and DNS management, you're probably looking at about $100 a month.