The Nvidia Tegra Note is in your price range and you can take notes on it with a stylus. Ofcourse if you want LTE, better resolution etc, you are going to have to pay alot more.
FYI, this is the year LTE tablets going truly mainstream, we will see price drops as there is finally a 2nd/3rd player(Intel & Broadcom, before it was just Qualcomm) in the market selling LTE modems, so if you wait couple of months more you will be able to probably get a LTE tablet in this price range. Glad this monopoly is finally coming to an end, thats the only reason why LTE tablets have been so expensive, as there has been no competition against Qualcomm.
Next, Sharp's IGZO technology is letting tablet makers put some very high resolution tablets on the market. That's what really pushed the boundaries beyond Apple's retina display last year, so those high resolution 2560x1600 + tablets are showing up in abundance now. So in the $300-400 price range you can probably get one of those nowadays.
But if you need a cheap android alternative Tegra note is your best bet. Then there is the Nexus 7.