DVI-D to Thunderbolt 2 to Thunderbolt 3
Hooking up multiple adapters in series to get from one type of connector to another, VIA a third type of adapter doesn't always work. However there are enough exceptions to the rule that it is worth trying if you don't mind losing money on unusable adapters or returning said adapters.

There are USB-C to DVI adapters that should work. Amazon sells several makes and models but a simple Google search should turn up a bunch more.