Como capturar exceções SSL em um servidor Mono HTTPListener?

Estou tentando adicionar suporte HTTPS ao meu servidor HTTP Mono simples. Funciona perfeitamente na maioria das vezes, mas o aplicativo falha quando ocorre uma exceção SSL, como o cliente cancelando o handshake. Obviamente, algo assim não deve travar completamente, então preciso capturar essa exceção de alguma forma.

Código:

    static void Main(string[] args)
    {
        try
        {
            var listener = new HttpListener();
            string prefix = "https://*:8443/";
            listener.Prefixes.Add(prefix);

            Console.WriteLine("Starting HTTP server at " + prefix);

            listener.Start();

            while (true)
            {
                try
                {
                    var context = listener.GetContext();
                    Console.WriteLine(context.Request.Url);
                }
                catch (Exception e)
                {
                    Console.ForegroundColor = ConsoleColor.Red;
                    Console.WriteLine("Exception processing request: " + e);
                    Console.ResetColor();
                }
            }
        }
        catch (Exception e)
        {
            Console.ForegroundColor = ConsoleColor.Yellow;
            Console.WriteLine("Exception caught! " + e);
        }
    }

Aqui está o log quando recebo um cliente instável tentando conectar:

Starting HTTP server at https://*:8443/

Unhandled Exception:
System.IO.IOException: The authentication or decryption has failed. ---> Mono.Security.Protocol.Tls.TlsException: The client stopped the handshake.
  at Mono.Security.Protocol.Tls.SslServerStream.EndNegotiateHandshake (IAsyncResult asyncResult) <0x41e581b0 + 0x0022b> in <filename unknown>:0
  at Mono.Security.Protocol.Tls.SslStreamBase.AsyncHandshakeCallback (IAsyncResult asyncResult) <0x41e57d20 + 0x00086> in <filename unknown>:0
  --- End of inner exception stack trace ---
  at Mono.Security.Protocol.Tls.SslStreamBase.EndRead (IAsyncResult asyncResult) <0x41e50110 + 0x0015f> in <filename unknown>:0
  at Mono.Net.Security.Private.LegacySslStream.EndAuthenticateAsServer (IAsyncResult asyncResult) <0x41e50000 + 0x0003e> in <filename unknown>:0
  at Mono.Net.Security.Private.LegacySslStream.AuthenticateAsServer (System.Security.Cryptography.X509Certificates.X509Certificate serverCertificate, Boolean clientCertificateRequired, SslProtocols enabledSslProtocols, Boolean checkCertificateRevocation) <0x41e40990 + 0x00055> in <filename unknown>:0
  at System.Net.HttpConnection.Init () <0x41e3e0e0 + 0x0005f> in <filename unknown>:0
  at System.Net.HttpConnection..ctor (System.Net.Sockets.Socket sock, System.Net.EndPointListener epl, Boolean secure, System.Security.Cryptography.X509Certificates.X509Certificate cert) <0x41e3b670 + 0x003e7> in <filename unknown>:0
  at System.Net.EndPointListener.OnAccept (System.Object sender, System.EventArgs e) <0x41e3b210 + 0x002a7> in <filename unknown>:0
  at System.Net.Sockets.SocketAsyncEventArgs.OnCompleted (System.Net.Sockets.SocketAsyncEventArgs e) <0x41e3b1d0 + 0x0002e> in <filename unknown>:0
  at System.Net.Sockets.SocketAsyncEventArgs.Complete () <0x41e3b1b0 + 0x00013> in <filename unknown>:0
  at System.Net.Sockets.Socket.<AcceptAsyncCallback>m__0 (IAsyncResult ares) <0x41e3aa70 + 0x0037f> in <filename unknown>:0
  at System.Net.Sockets.SocketAsyncResult+<Complete>c__AnonStorey0.<>m__0 (System.Object _) <0x41e3a980 + 0x0001d> in <filename unknown>:0
  at System.Threading.QueueUserWorkItemCallback.System.Threading.IThreadPoolWorkItem.ExecuteWorkItem () <0x7f22cac25460 + 0x0002f> in <filename unknown>:0
  at System.Threading.ThreadPoolWorkQueue.Dispatch () <0x7f22cac239e0 + 0x001d6> in <filename unknown>:0
  at System.Threading._ThreadPoolWaitCallback.PerformWaitCallback () <0x7f22cac252e0 + 0x00008> in <filename unknown>:0

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