Pro tip, on the Mac, install Apple Configurator. You can then wirelessly add the AppleTV and wirelessly install the beta profile.
Alternativley, you can store your TVOS profile in Dropbox, click share with link, change the end of the link from dl=0 to dl=1.
Go to your Apple TV, go to the Settings app, choose General, choose Privacy and then hover over the Send to Apple menu item without clicking it. Instead, press the Play/Pause button on the remote, which brings you to a hidden screen to add your profile. Click Add Profile and select OK when prompted.
On your phone, use the Apple Remote app to paste in the Dropbox link and it will install.
No need to install XCode or any web servers.