As of midnight on September 24, 2016, the Zcash team has finished deploying a service that helps the peer-to-peer network bootstrap itself, and assists your Zcash client in finding other peers, via DNS seeding. This change was included in the Beta 1 release, but it did not become fully functional until now.
The DNS server at dns.testnet.z.cash returns a list of highly-available nodes, which your client will automatically attempt to connect to in order to obtain blocks. This should hopefully resolve any connection issues by not relying solely upon betatestnet.z.cash and make syncing easier.
Don't hesitate to let us know if you notice any issues!