First, yes, an external clock will greatly influence the sound of your converters... all of them. The clock and the analog electronics are the two main variables in A/D-D/A converters... if the clock isn't stable, you're going to hear the instability... with greater stability of the clock comes clearer audio, same with the analog electronics... the better the filters, the better the headroom, the better the resolution of the analog amplifiers, the better the converter will sound. Each small step forward pretty much doubles the price, which is why you have converters that are several thousand dollars for two channels, and converters that are a few hundred for 8 channels. This is an extremely superficial explanation... but it's about as deep as I feel like getting into it at the moment.
Second, give this a try [you have nothing to lose at this point... right?] Pull the unit out of the rack, remove the lid. Vacuum out all the dust inside the unit, put the lid back on, then evaluate where it was in the rack.
I know you said you had an airspace above and below it, but have you added any digital or tube based hardware below the converter in your rack? As we all know, heat rises... so if you added anything that procuces heat beneath the unit you may want to rearrange the rack.
Digital equipment produces a lot of heat [a whole lot of heat]... most failures in the digital world can be traced back to a heat issue, the build up of dust within a unit is indeed a very real cause for a heat issue... especially in "budget" digital equipment.
Best of luck with it.