Which versions are okay? I have these... Not sure which are buggy, but I've read a couple of versions of SSDT were wonky as hell.
Microsoft Visual Studio 2015 Shell (Integrated)
Version 14.0.23107.0 D14REL
Microsoft .NET Framework
Version 4.7.02556

Installed Version: IDE Standard

Microsoft Visual Studio Tools for Applications 2015 00322-10000-00000-AA908
Microsoft Visual Studio Tools for Applications 2015

Visual Basic 2015 00322-10000-00000-AA908
Microsoft Visual Basic 2015
Visual C# 2015 00322-10000-00000-AA908
Microsoft Visual C# 2015

SQL Server Analysis Services 14.0.514.48
Microsoft SQL Server Analysis Services Designer
Version 14.0.514.48

SQL Server Data Tools 14.0.61704.140
Microsoft SQL Server Data Tools

SQL Server Integration Services 
Microsoft SQL Server Integration Services Designer
Version 14.0.500.272

SQL Server Reporting Services 14.0.514.48
Microsoft SQL Server Reporting Services Designers
Version 14.0.514.48

When I try to publish the report from within SSDT, I get this not so helpful message:
Build complete -- 0 errors, 0 warnings
========== Build: 1 succeeded or up-to-date, 0 failed, 0 skipped ==========
========== Deploy: 0 succeeded, 1 failed, 0 skipped ==========

Deploy fails, but there are not error messages other than that.