Active Directory authentication load balancing and failover

Active Directory already has load balancing techniques built into it. Your Windows client knows how to locate the redundant domain controllers in its own site, and how to use another one if the first one is unavailable. There's no need to perform additional load balancing, like "clustered" DCs, etc. as long as you have redundant DCs.

In a way, you can think of an Active Directory Site as a "load balancer," because clients in that site will randomly pick one of the DCs in the same site. If all the DCs in a site fail or if the site has no DCs, then the clients will pick another site (either next-closest site or at random.)

You can load balance Active Directory-provided DNS service for domain-joined clients by putting a VIP on a hardware load balancer, and having that VIP load balance between several of the domain controllers. Then on your clients, put that VIP as the preferred DNS server in the TCP/IP configuration.

I'm doing that right now for a global infrastructure and it's working great.

But that only applies to DNS service.

Don't try to load balance your domain controllers for authentication. It's asking for trouble. You would at the least have to do a lot of complex custom SPN work and you'd be throwing yourself way out of Microsoft support boundaries. From this blog, which you should read, I will quote him:

Go back to the vendors and tell them you don’t consider them to be AD Integrated and you will find a different solution.

Now as for applications that ask you to type in the IP address of a domain controller? Well, I'll just reiterate my comment:

Whoever wrote an application that forces you to hardcode the IP address of a domain controller into it doesn't know what he or she is doing.

there has never been a good reason to hardcode an IP or use an IP to resolve AD queries. There are no best practices for bad practices.