Traditional failover clustering vs. Availability Groups
What would you think is the best solution to look at given these factors?


AlwaysON is designed to meet business uptime and availability wherein you can afford minimal data loss and downtime. It requires proper planning and implementation.

As per your question, it seems that the databases are not that business critical (business have no problem accepting the nightly backup as restore point).

Based on the information that you provided, your business will be able to survive with Log Shipping as a DR solution.

The benefit is that you dont have to worry about windows cluster and other complexities associated with AlwaysON like DNS, Windows failover cluster, etc. Check the prereq and requirements.

Logshipping is well tested and is the most mature of all the DR technologies that you get from SQL Server. You can adjust the frequency of Transaction log backup,copy and restore as per your needs.