I don;t think so, the CPU you have is almost at the same level as the TR 1900x. If you decide to upgrade you will spend lots of money on stuff that is barely gonna improve performance. The 1700x will perform just fine in streaming, so the best thing you can do is invest elsewhere (e.g. video card, monitor, internet connection) as these will make a bigger difference.
Just for the record, the top TR model (1950x) is sitting at $800 which I wouldn't call VFM, offering a slight increase in game performance. If you add the motherboard and the cooling, you reach the sum needed to buy a brand new gtx1080Ti.