All I can think of is a poor connection - I've had some RCA cables that did not grip very well and over time slid farther and farther until the connection was marginal and they had static.
You may have fixed that (if it was the problem) when you switched amps, but if you play at low volume, you are more likely to notice a driver not working properly or exhibiting static. IME, more power will help the signal jump a marginal connection.