Turned out to just need a binding redirect to System.Net.Http:
<dependentAssembly>
<assemblyIdentity name="System.Net.Http" publicKeyToken="B03F5F7F11D50A3A" culture="neutral"/>
<bindingRedirect oldVersion="0.0.0.0-4.2.0.0" newVersion="4.2.0.0"/>
</dependentAssembly>