I haven't had much experience with .NET on Visual Studio, but I would say that Jetbrains Rider is probably the best thing you can get for .NET work on Linux.

As a matter of fact, they implemented their own hot-reload functionality themselves [0][1].

[0] - https://twitter.com/JetBrainsRider/status/145148793146664961... [1] - https://www.jetbrains.com/rider/nextversion/