If you're thinking about switching to TS, the first thing you have to do is stop trying to organize it or make it behave exactly like other charting software. I agree that floating windows that appeared on multiple monitors would be a superior option to what the program does offer, but, for me anyway, other advantages outweigh this limitation.
As to the specific problem, how you would address it depends on how many monitors you have and what kind of trading you're doing. I use only two monitors for daytrading: I design and load around seven "active analysis" workspaces (different layouts of charts representing different ways of analyzing the market in general or of prospecting for trading opportunities), and then load a set of six to twenty "active trading" workspaces, each named for an individual stock ticker, each nearly identical in layout to every other, each designed to be displayed across two monitors, each including different intraday views, L2, market views, etc. Switching between these workspaces, once loaded, is at least as quick as loading new charts with the kind of linking feature typical of Cybertrader Pro or Real Tick, with the added advantage of having whatever analysis work saved uniquely.
I won't go into much more detail here - if you're not willing to be creative with the software and not interested in its unique features (customizability, enhanced analysis, system-work, etc.), then you'd probably do better with CyberTrader, RealTick, or someone else.