The single most significant factor about tidal rivers is that those differ from others mostly by the effects of the tidal forces. Weather enters in but over a season-long period, the daily changes having very little effect compared to the tides. It takes a lot of cold air a lot of days to chill river water past the first foot of depth. It takes a lot of dynamics to warm a body of water, especially a river. Current works against both warming and cooling. An overnight cold front doesn't change much about any river with decent depth in the spring. I'd say the bass will remain on schedule, on a daily basis close to where they were yesterday, maybe a little deeper and closer to structure than to shallow cover, if in fact the water temperature dropped a couple degrees. I don't put much thinking into the surface cooling down while deeper water remains stable. I carry a simple pool thermometer on a string to compare temps at various depths.
Jim
Jim