ESP-13 wifi shield / ESP8266 - maximum and available baud rates

boylesg:
I did try setting the baud rate of the ESP higher than 115200, and in the setup function for the library, and I could seem to get the page to download from the arduino to my web browser.

How high?

boylesg:
But are there any other trick that people have used to speed up the process further?

What I found is you want to assemble as much as possible of your page at once and send it all at once rather than sending it in a bunch of small parts. I've been mostly using them standalone lately, rather than running AT firmware connected to a standard Arduino and there's a limit to how much you can send at a time, which I haven't found documented anywhere after a bunch of searching, I'm just sending it whenever it gets over 1000 characters long. I'm guessing it's the same with the AT firmware.

Even with that it still seems slower to load than it should be. Using in AP mode doesn't seem to make a difference. Luckily I haven't used it for an application where speed is important yet.