Project.json referencing SQLLite

I would like to convert one of the unit test projects to use a json format of the project file. Unit tests are using NHibernate and SQLLite to execute. Project.json file looks like this,

{
  "version": "1.0.0-*",
  "compilationOptions": {
    "emitEntryPoint": true
  },

  "dependencies": {
    "System.Data.SQLite.Core": "1.0.99",
    "NUnit": "3.2.0",
    "NUnitLite": "3.2.0",
    "NSubstitute": "1.9.2"
  },

  "runtimes": {
    "win": { },
    "win-anycpu": {
      "#import": [ "win" ]
    }
  },

  "commands": {
    "test": "Infrastructure.Test"
  },

  "frameworks": {
    "dnx451": {
      "dependencies": {
        "Domain": "1.0.0-*",
        "Infrastructure": "1.0.0-*"
      }
    }
  },

  "exclude": [
  ],
  "publishExclude": [
    "**.user",
    "**.vspscc"
  ],
  "scripts": {
    "prepublish": [ "npm install", "bower install", "gulp clean", "gulp min" ]
  }
}

The problem is when I try to run this, I am getting exception saying Unable to load DLL 'SQLite.Interop.dll': I figure this is because there are 2 different x86 and x64 binaries of the above file shipped with the package and they are located in the bin folder.

How do I get this working? Full source can be found here