Sadly I won't succeed at the "Music Man" approach to learning to improvise. By that I mean "hear it, fumble around with no coaching, and then play inspired music by the end of the movie".
What I'd greatly appreciate are some strategies for creating interesting 2 to 3 bar arrangements within a given scale. This would be especially helpful for those lead sheets that end a long phrase with a "held" note taking two bars. That's where, for blues especially, I've heard some really clever transitions.
For background, I've been told to start with a "horizontal" approach ("sequence scale notes in order") interrupted by small interspersed loopbacks. I expect someone with experience could make that cool, probably using some syncopation. I've also tried, with a bit more success, to blues-ify the bars by picking notes from the right blues scale.
FWIW, my "ear" is also fairly untrained, so I find it hard to pick up ideas off a recorded performance.