My HDD broke and I bought a new one. I never made a recovery disc. No way to recover?

Question

As the topic states, I broke my HDD on my Toshiba Satellite L745-S4110 and I just bought a new one. The hard drive is completely fried; the BIOS cannot detect it upon start up.
It broke because I bumped the hard drive while it was writing data, but that's beside the point; the obvious fix was to buy a new hard drive.
So I've bought this new hard drive, and now I want to re-install Windows on it as well as all of the associated drivers for the components on the laptop. I want to be perfectly, crystal clear; there is NO WAY for me to do this without forking $30 over to Toshiba for them to ship me a recovery disk? (No, I never made one while I had the chance.)
If this is the case, I'm just going to pirate windows and hope for the best on getting those drivers back. From the wise words of Gabe Newell: 
              "We think there is a fundamental misconception about piracy. Piracy is almost always a service problem and not a pricing problem," he said. "If a pirate offers a product anywhere in the world, 24 x 7, purchasable from the convenience of your personal computer, and the legal provider says the product is region-locked, will come to your country 3 months after the US release, and can only be purchased at a brick and mortar store, then the pirate's service is more valuable."
I already own a license to the copy of Windows for this laptop, yet I must still spend money to (legally) obtain the software that I already own a license to use? That's definitely a service problem. 
The other reason that pirating windows is the better option here, is that the associated recovery disk (which I will have to pay $30 to get) is going to have a bunch of shovelware on it that I absolutely do not want. A pirated copy will not have any of this.
Sorry, I'm done ranting for now. Anyways, to re-iterate; there is no option to simply download the needed recovery disk as an ISO and then burn it myself? 

Answer 1

Satellite L745-S4110
Drivers and utilities are here.
No need to pirate anything. As you say, you have already purchased Windows 7 Home Premium. And as the mad RN says, you can legally download Windows. (Microsoft sells activation - not the software.)
Select Windows 7 Home Premium x64 SP1 (bootable) from this site.
   Download Windows 7 Integrated With SP1 ISO – Official Direct Download Links
Be sure to partition and format during Setup. (No need for this using the recovery media. And you get a recovery-environment partition plus a full-recovery partition.)
   Installing and reinstalling Windows 7
Good luck on installing the drivers and utilities. The order is problematic. Best luck seems to be had by installing the Intel chipset and display software prior to other drivers. (No need for any of this when you use recovery media, of course.)
If you cannot activate Windows using the product key on the bottom of the computer, come back here for tips. (Windows on the recovery media is preactivated.)
One advantage to this approach is you'll avoid all the extra garbage, especially offers from Amazon, NetZero, Norton, QuickBooks, and Skype.
My time, however, is worth way more than the $30. I would opt for ordering the recovery media and removing the garbage. But that's your call.
-Jerry