You should still vary your bets, according to the Kelly criterion or something similar. Basically, the percentage to which a bet is positive expectation is the percentage of your bankroll that you should wager on it. So with basic strategy and no counting, this game has an expected advantage of about 2%, so you should bet about 2% on each hand. If you’re counting, then as the count varies, the expected advantage would also, and so your optimal bet should also vary (in addition to varying as your bankroll does).
Until, that is, your bankroll grows sufficiently large that the Kelly criterion bet is more than the table maximum, which probably wouldn’t take very long (about 40something games).