This seems like a common thing at the .01/.02. You nail a hand and get everyone to fold, you bluff at the same board and 3 hands chase you down. I would say the way you played it is fine. A little more info about your table would shade my opinion on checking. There was only the one possibility of an open ender drawing against you that you really had to have any concern for on that board. If the table had been very tight postflop I'd say check to see if anyone could hit a pair, but in general firing half pot or so bets is a solid way to build a pot big enough to get some real money
in by the river, if you can get any callers of course.