[Galaxy Note 3 Q&A, Help & Troubleshooting] Nanaya Shiki:
Perhaps you aren't totally limited to just the N9005 Model?

I read this not too long ago on the Amazon listing for a Note 3. It was posted by a user who had some expertise on the various models. It seems that some of them might work for you, but it would be based on your carrier:

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1. SM-N9000 3G = International/Made for Travelers: This is the international model. This one has a dual quad core processor running at 1.9 GHz Cortex/1.3 GHz A7. The reason for the processor being change is because this phone is meant to work everywhere their is a GSM signal and kicks threw the different processors to maximize signal strength. The N9000 CAN NOT to 4G speeds of any kind. This is due to most country not having 4G signal and that a lot of county's run on different cell frequencies. By removing the 4G radios this phone can pick up way more cell frequencies then the other models. This phone is not made for people looking for Data speed this is made for travelers whom want a reliable way to have cell service no matter where they are. Don't despair about the data or processing speed this phone still has Wi-Fi connection available and can breeze though 3D games; you shouldn't even notice a speed difference when doing tasks.

2. SM-N9005 4G LTE = European Model/International: This model contains the regular 2.3 GHz Snapdragon Processor. This phone unless unlocked is Region locked to only European SIM cards, after unlocked their is no region lock. Although this phone is an LTE phone it can only get LTE frequencies while in Europe. When you take this phone out of Europe it will get international signals but will not get LTE, when this phone is in the USA is will get H+ (Reference above) signal maximum.

3. SM-N9002 3G = China Model/Select Counties: This model is not LTE or 4G compatible. This was the First generation of the Note 3 released and is considered the Beta. With all the same hardware as the LTE version this phone will still preform flawless tasks.

4. SM-N900W8 4G LTE = China Model/Select Counties: This model will only get LTE in select counties and I advise you check with your service provider to see what signal you will be getting. This model is completely subjective as to what frequencies of LTE you will be about to get. Example: Imagine you are in Europe and you are in a city and get LTE. Then you move to another city and you lose LTE this is because the first city runs on an LTE frequency the the phone can get but the second city although may offer LTE to most cell phone; does not offer LTE on a frequency this phone can't run on.

5. SM-N900A 4G LTE = USA AT&T/Worldwide: This phone is International but you need to consult AT&T to see if you city or county can get LTE service or not. This phone once unlocked will work on Straight Talk, Solavei, T-Mobile, and any other GSM based network. Note: When using T-Moble, Solavei, or other services that piggy-back on the T-Mobile towers you can get LTE service but depending on your area you may not get 3G. If you live in a 3G area consult your carrier to see is the frequencies for 3G match up with this phone. (This review for the AT&T model can change at anytime due to AT&T's bootloader)

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Unfortunately, it seems you'll have limited options unless you decide to take a chance on Ebay and hope you don't get burned or just decide to just pay retail for a Note 3 and sell your S4 on Swappa to subsidize the cost.

Sorry about that.