Please excuse me if I ask anything redundant, as I skimmed through your posts.
- Can you test your network with the removal of the Ubee router and only using your Belkin? If the ubee is defective, that would certainly explain your problems.
- Can you compare the timestamps on the logs to see if all computers lose connections at the same time?
- If the above is possible and they do not lose connection at the same time, can you split up the wired connections one for each router and run the same ping monitor test, this would help to narrow down if either individual router is malfunctioning.