What Thunderbolt hard drives support daisychaining

Thunderbolt as a technology supports daisy-chaining devices (connecting one device into another). Unfortunately a number of the devices available like the 2.5" GoFlex adapter and the video converters don't have the second port to allow this.

Your option could be to get the 3.5" GoFlex adapter and mount your drive in that and connect the screen to the second port on that.

There are some HDMI splitters on the market but this will just send the same image to each screen.

I have recently run into a similar situation as yours. Both of the proposed solutions below do not use expensive gear like thunderbolt docks or monitors, and can achieve the same (or similar) desired end result.

1. This Thunderbolt-to-Dual-HDMI adapter allows your to connect two 1080p monitors to a single Thunderbolt port, and have both those monitors act independently from one another (ie. they are not mirrored). The adapter is also passive, which is nice.
2. Buy a Chromecast. This solution is sub-optimal, and is dependent on you having a decent internet connection, but with this $35 device, you can stream a browser tab, your desktop, audio, video, and more to an external monitor. The third monitor can then be added with a simple Thunderbolt-to-HDMI adapter.