I left CQG 2 years ago. No need to pay data fees to Tradingview and paid just few dollars ($3 if not mistaken) to CQG to connect from Tradingview and traded from Tradingview's chart. As far as I can remember, got no issue to view continuous chart. Tradingview is just charting platform and CQG is data feed provider. You are supposed to be able to view continuous chart. I suggest you to ask Tradingview support.