Thanks @mathanmailid. That's exactly what I was looking for, and while I see the soft reboots, I don't see anything relating to network issues. Thanks again!
Thanks @vfk. Nothing in the guest os helped, and I should have made it clear that the other vm is not inside my vCenter environment (re: affinity rules).
As long as I can review the logs on my end and fairly confidently say this is not a problem originating in my environment, I can pass it on to the owners of the destination vm or the network team. Thanks all for the help. Much appreciated.