If you want to see how your home router load balances the network to multiple devices why not just hook up an iperf server on the other side of your router?
If you want to test everything you can do what tacos4me said but just make sure the client parameters include a longer period of time to...
You could run a perpetual ping command in Windows command and watch for dropped packets.
ping 8.8.8.8 -t
If that does not show anything you could try using a custom ping program to try UDP, TCP, ARP, or ICMP packets. I would also agree with diizzy and recommend looking at the logs on the Cisco...
In Nping you can chose between TCP, UDP, ICMP, and ARP packets.
Here are the parameters to run it. Note the necessity to define trace route mode.
If the issue is intermittent it will definitely be hard to track it down with a random trace route done every few days.