I wouldn't build a web app with a Rust back-end simply because of the compile times. Go is a better choice here because it will compile in seconds vs 10+ minutes for even a moderately sized Rust app. I also don't feel Rust's strengths shine very much in a web back-end. Go performance is more than sufficient and you don't need to call native code directly.
10+ _minutes_? Really? What are you doing?