Load-balancing generic hosts between different datacenters

You're asking if you can have a WIP (Wide IP) on your Denver F5 DNS implementation that points to 2 different endpoints in India. This is a piece of cake and will not impact performance negatively in any way, as a client will ask an LDNS and the LDNS will serve a cached response from the F5 DNS.

Have you looked at F5 Distributed Cloud DNS yet? For this sort of thing, it's perfect, as you've got DNS presence via anycast over 22-ish PoPs, boasting the 3rd best peering on the internet.  The price is VERY nice, as I understand it, too.