RNAeasy kit will not usually give phenolic contamination. Your poor 260/230 is perhaps because of low yield; check the absolute absorbance values. Low 260/230 (and low yield) also happens because of improper lysis. I would advise that you do the cell lysis using more effective methods. I would not advise another phenol-chloroform or alcohol precipitation step- you will lose your RNA. With what you have now, run a little bit on the gel to see the integrity. Also try heating the dissolved RNA at 65-70deg for 10-15min and measure OD again (use nanodrop or a similar device)