If you are looking for an alternative to hosting and managing your own remote desktop servers you could look to Azure RemoteApp. You can read more about it here https://www.remoteapp.windowsazure.com/en/

If you are ready to experiment with Dynamics AX client install on Azure RemoteApp then this whitepaper written by Haytham will be a good reference for you. https://mbs.microsoft.com/customersource/global/ax/learning/documentation/msdax2012r3azremappprg

Cheers

Lachlan