I've found the stock Samsung browser (labeled "Internet") on my Note devices works best (ex. Note 2, Note 4, and OG Note 10.1).
Otherwise I've found Chrome lags too much, so I always end up not using it or disabling it if it's included on a device (ex. like my Note 4). Tried CM browser for a while, but ended up having an issue with it where it appeared to lock up my device where my only option was a master factory reset via the recovery console (see my thread here:
http://forums.androidcentral.com/samsung-galaxy-note-4/460294-had-hard-reset-recover.html). It may not have been CM browser, but I've had no issues since I've stopped using it. I have Firefox installed as an alternate/secondary browser if needed (ex. for multi-window stuff). It works ok, but like Chrome tends to use too much RAM memory and lags.
In the end, I like to use the K.I.S.S. principle, so I've yet to find any third party browser that works as well as the stock Samsung one.