Hi,
We are having the same issue as this, we have had 3 calls open to VMware on and off for months, what they eventually come back with is its working as intended.
One of the things we are beggining to investigate is SQL, it seems clear that VMware triggers this behaviour, but I cannot be certain that it is not partly down to SQL, after all the stun process with VMware reports the stun duration as 1-3 seconds, which ties in perfectly with the amount of pings lost.
If you want to check the stun durations from the console (putty) of the ESX hsoting the VM, browse to the data storeand run the following command.
egrep Checkpoint_Unstun vmware.log
this will give you an output of the stun durations in microseconds. 1000000 = 1 second.
I would be very interested to see if you experience the same stun duration/ping timesouts as we do.
On the note of increasing the service console memory, I have done this and it has had no effect.