Is there any way I can run the Unity dashboard (or something similar, like Bolt for Gnome 3) in Gnome Fallback?
Yes there is. You can run
Here is a picture of my Gnome fallback (no-effects) session using the unity dash-
Unfortunately the dash is built into the launcher. But you can auto-hide the launcher, and turn down the reveal sensitivity so it be harder to show unless you access the dash.
I found a way to hack it so the launcher does not appear,
You can run Unity3D or Unity2D. But if you run Gnome "classic", you'll need something different. If it's just the dashboard you're missing, and not the other features, then there are several alternatives, called "docks", that may start a battle by naming, but I'm an old soldier, so here are the ones I know about:
Avant Window Navigator (also known as AWN), is in the repository and works well with Gnome classic, with or without Compiz;
Cairo Dock, in two flavors (GLX Dock with openGL, and standard Cairo Dock);
Docky, a fairly simple dock that I haven't really used.
There are others, but if you search for either Gnome Docks, or the ones I mentioned, I'm sure you'll be led to many others.
You can also add the Cardapio menu to some of these, or use it by itself. I is a very nice menu system, with pinned items, grouped apps, and a very nice search where you can press a hotkey to trigger the menu, then type one or two keys to find the app, and usually press return. For example, if you want to run gparted, you can press the hotkey, type "gp", return. For me, if I want to run VirtualBox, Windows XP, I just need to type "XP", return and it runs.