Be very careful cross match shopping for we may recommend tablets, you get the model number type it into a search engine and the search engine turns up the older models in that series that are 1 to 2 years old that came out last year and are completely different. I am just posting newegg links for it easy to search and they are usually decent with prices it may not be the lowest price out there.
I am trying to recommend a good tablet that is not a POS tablet, but it is hard to get a good 10" in your price range. 10" cost $100 to $150 more than the similar priced 8" to 8.4." If you can do 8" you have a lot more options, and the 8 to 8.4" seems to be the sweet spot. (I personally prefer that size as well but I am trying to get what you want not what I want.)
LG GPad 8.3 (make sure it is the 8.3, the 7.0, 8.0, and 10.0 are all shit), Pretty much the same as the nexus 2013 but with a bigger screen (8.3) and slightly faster cpu. Wonderful tablet with a wonderful screen. The cpu is a snapdragon 600 quad core. Snapdragon 600 and 800s are good 400s are pure shit and the same speed as your tegra 3 (the 400s using a different cpu architecture). This has a 40% bigger screen than your nexus 7 first gen. $250 at newegg.
Newegg LG GPad 8.3 White
Asus TF103 (a 10") HD tablet with the intel quad core and a keyboard dock $250 at newegg currently with a $10 off coupon making it $240
Newegg ASUS TF103 This is effectively the same as the tf100 that came out for windows but with android instead of windows less ram, and a different motherboard so it is cheaper to make for asus.
ASUS ME181C (a 8") HD tablet with the intel quad core. $160 at newegg same as the TF 103 but smaller and no keyboard dock
Newegg ASUS ME181C
Acer is supposed to come out with a similar tablet to the asus tablet 8" with intel quad core but with a 1920x1200 screen and more ram the model number for it will be Acer Iconia Tab 8 A1-840FHD but it is not out yet.
HP S8-7600US, the Slate 8 Pro. An 8" tablet for $199 with the tegra 4 chip (much much much better than the tegra 3, faster than the snapdragon 600 comparable to the 800) with a 1600x1200 screen. It is a 4x3 tablet like the ipad mini. This was a sleeper tablet that came out earlier in the year for it was released at $330 and with no name or marketing. This has received an update to Android 4.4 but who knows if it will get Android 5 / L since HP has a habit of abandoned their products with updates, especially with devices considered a failure and HP did not sell a lot of these. Then again nvidia is good with updates and this is pretty much a nvidia based reference device.
Newegg HP Slate 8 Pro
The tf 701 there were multiple models, I do not remember what the model numbers were the bad ones but the newer model is the good one. The bad ones had some design flaws which I forgot what it was. Effectively the tf 701 is a 10" version of the slate 8 pro with it being more widescreen for those 2 inches.
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Now I hate waiting but you will probably find better deals and more selection in the next month. Many brands have not released their christmas models yet with a completely new hardware and up to date hardware but they will release it in the next 30 days.