A quick google indicates that your January temperature goes as low as 4° Fahrenheit. If that's accurate, then I suspect that many of the really massive bamboos are not going to enjoy it very much. Things like Dendrocalamus brandisii, which gets used for making buildings, can grow to over 100 feet tall with stems over 8 inches across, but would probably not survive.
You might try Phyllostachys makinoi, which will quite rapidly grow to somewhere around 60-70' and is very cold tolerant. It will put out runners though, so beware! It's a very frondy bamboo, which is quite attractive. Or possibly Phyllostachys viridis 'Robert Young', which has appropriate yellow stems, and will grow to about 40'.
The fastest of all plants is Bambusa oldhamii, which can apparently grow as much as 4 feet per day if the conditions are right. Arkansas conditions are probably not right though, I don't think it's hardy enough and would probably keel over in the first winter.