There are reasons to get barred (ie: the particular game is not going to last long, so you might as well "go for it" and get as much as you can, etc.) but simply beating the game is not one of those reasons.
Starting out, normally a new player plays for lower stakes. Unless you are in a seriously sweaty grind shop, you should fly "under the radar" playing with low stakes and a small spread. If you are attracting attention at this point, you are doing something seriously wrong. Are you staring intently at each card as it is dealt, moving your lips as you count, and muttering "+3, -1" under your breath???
Use this time to observe and learn as you move up in stakes and skills. What are normal dealer and floor procedures, and what is unusual attention? How does a "normal" player act? What does a "normal" player do when he places a big bet? When he loses? When he wins?
Learn to interact with people (while keeping the count). Gamblers like to talk to the dealers, flirt with cocktail waitresses, don't mind the floor watching. If you want to be seen as a gambler instead of a counter, learn to do the same.
Other topics to explore: Avoiding action and winnings being tracked, Hiding winnings, wonging in and out without obviously leaving the table, etc., etc.