How to do proper path selection with 3 route options?

Please let me know if I need more detail:

I have a network (let's call it 192.168.100.0/24).

I have a router with 3 possible paths to this network.

My preferred path is "eigrp fast route". Next choice would be an eBGP route. Third choice would be "eigrp slow route".

How do I make this happen, how can I configure the router to have it failover properly between these 3 routes in that order?

I'm open to changes. Right now the 2 eigrp routes are in the same AS, but that could change if needed.