You avoid doing the math, postulate concepts that come off as idiotic, half-baked, naive, incomprehensible, simplistic, and dangerously uninformed.
You propose a not-yet-built-still-on-the-drawing-board concept vehicle to do this.
"Couple of hundred flights a day" you say? Why not a thousand flights a day? Where did you get this figure? Out of thin air? How was your figure computed?
A less wacky concept would be to launch enormous Beach Umbrellas. - each a mile or two across - to shield us
You avoid all logic by reducing your postulate to an unsubstantiated and unprovable claim.
Show me your Math.
And you insist on doing math that's demonstrably wrong.
The person who runs that site does this for a living, and is a consultant to the suborbital (and orbital) space industry.
You propose a not-yet-built-still-on-the-drawing-board concept vehicle to do this.
No, the vehicles are already designed, and being built as we speak, in Mojave, California (by Burt Rutan's company) and Oklahoma, among other places.
The math was done at that web site. Didn't you read it? With a fleet of a couple dozen vehicles (about the size of an executive jet), four flights per day per vehicle (it's just up and down--a flight lasts only an hour or so), a hundred flights a day is a conservative number.
I really don't understand what your problem is here. This is straightforward aerospace engineering, with mature technologies.