Sean, are you serious?
Your number are totally incorrect.
First, how many maintenance and safety hours does a plane need to take off? learn that and you
will be astonished.
Second: the word is plasma/ionic, and not only for the speed & power: you can have acceleration all/most of the way to mars (think about art. grav), you get very strong magnetic fields (defense from radiation) and you get there faster, all with a fraction of the weight. The ionic reactors are in actual use, and the plasma ones will be in a couple of years o a bit more.
But you can get there with chemical ones, and while complicated, that's why we have ph's and computers...
Third: you don't want yo build something like the shuttle? why? something of that weight woul be good to go to pluto and beyond, and not mars.
You don't need a strong structure: no reentry.
That huge wait called thermal tiles is useless.
Wings?? what for? Tail? redundated aerodinamic control surfaces and related hidraulics?
So you see, you actually don't need MOST of the weight..
Let's assume you need 10% of that weight. (200.000 Kg? are you crazy? that's roughly the wait of the whole ISS!!).
And let's use the cost to geosync.. for example the cost for Sealaunch:
6000Kg max.. at about 15000$ per Kg.(if you contract sutch a volume, costs are way lower)
You would need 34 launches, and a launch cost of 3.000.000.000.
But if you put that weight up, I assume you would like to put colonists on mars, right?