We are in the process of setting up a DR site. DR site has network up and running and can talk to internet and the corporate site. Corporate site however can not talk to the DR site because the ASA at the DR site drops the TCP ACK SYN because the SYN from Corp does not go through the DR ASA. DR ASA sees the ACK SYN because it is the default gateway of DR servers. Please see the simplified diagram.
My preferred method would be to bring the routing at the DR site down to the switch if that point to point link is your preferred connection. Or, you could figure out a way to send Corp-To-DR traffic over your VPN tunnel.