Found the solution, posting in case someone else runs across this. You simply need to subscribe to the your DacService's Message event.
C# sample:
var services = new Microsoft.SqlServer.Dac.DacServices("data source=machinename;Database=ComicBookGuy;Trusted_connection=true");
var package = Microsoft.SqlServer.Dac.DacPackage.Load(@"C:\Database.dacpac");
var options = new Microsoft.SqlServer.Dac.DacDeployOptions();
options.DropObjectsNotInSource = true;
options.SqlCommandVariableValues.Add("LoginName", "SomeFakeLogin");
options.SqlCommandVariableValues.Add("LoginPassword", "foobar!");
services.Message += (object sender, Microsoft.SqlServer.Dac.DacMessageEventArgs eventArgs) => Console.WriteLine(eventArgs.Message.Message);
services.Deploy(package, "ComicBookGuy", true, options);
Powershell sample (executed by the Octopus Tentacle):
# This script is run by Octopus on the tentacle
$localDirectory = (Get-Location).Path
$tagetServer = $OctopusParameters["SQL.TargetServer"]
$databaseName = "ComicBookGuy"
Add-Type -path "$localDirectory\lib\Microsoft.SqlServer.Dac.dll"
$dacServices = New-Object Microsoft.SqlServer.Dac.DacServices ("data source=" + $tagetServer + ";Database=" + $databaseName + "; Trusted_connection=true")
$dacpacFile = "$localDirectory\Content\Unity.Quotes.Database.dacpac"
$dacPackage = [Microsoft.SqlServer.Dac.DacPackage]::Load($dacpacFile)
$options = New-Object Microsoft.SqlServer.Dac.DacDeployOptions
$options.SqlCommandVariableValues.Add("LoginName", $OctopusParameters["SQL.LoginName"])
$options.SqlCommandVariableValues.Add("LoginPassword", $OctopusParameters["SQL.LoginPassword"])
$options.DropObjectsNotInSource = $true
Register-ObjectEvent -InputObject $dacServices -EventName "Message" -Action { Write-Host $EventArgs.Message.Message } | out-null
$dacServices.Deploy($dacPackage, $databaseName, $true, $options)
In the powershell version I couldn't get the handy "Add_EventName" style of event notification working so I had to use the clunky cmdlet. Meh.