I put the music in aftereffects, I don't bother with messing with the recording software for things like that. I don't know if Bandicam can compress the time, I use the time-re-mapper in aftereffects.
Bandicam has a free trial I think...
And yes, I believe it's possible for full screen recording...
:D
OOOh, After Effects is off my list, I'll have to look for substitutions.
I don't mind paying for some programs, and do, but Adobe is for people with bigger budgets than mine.
I know that looking for how to avoid paying them, is probably so much work as to make it un-economical, but I really like open source software too.
I assume then, that that is AI you are using. I use Inkscape for example, and I have no doubt that your experience is better than mine.
:)
But Adobe's licensing structure is insane for my type of 'professional' use.