actually I have a very similar problem. I use Shaw internet and 1 out of ever 10 times I zone it will just drop my IP address. I will have to click the connection and repair/diagnose the issue then click to reset the network adapter. This only ever happens when playing EQ. Also the exact same problem could happen randomly while I am just grouping. 
 
My IP only drops in EQ. It has never done it any other time. 
 
I am sure if you just renew your IP or right click on the connection icon and "Diagnose/Repair" it that it would solve your issue without restarting your computer. As far as a long term fix...*shrug* 
		
		
		
		
		
		
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