Whew. For a minute there I thought an entire musical genre had passed me by. Wouldn't be the first time. The only RAT-type plugin I have is the Black Distortion from Nembrini Audio. I've only tried them together after reading your post, and it does seem to be a good combination. And it's free.
Nembrini Audio Free Plugins.
Process>Nudge>Settings. In the settings you can select the increments you want the Nudge to perform. The second image is my Nudge settings which I have tweaked for a specific use and are not the defaults.
I just bounced a work in progress down to a stereo track and everything is fine. The only thing that looks different is that instead of the bounced track created at the bottom it is above an empty folder at the bottom. That may be normal behavior as I very rarely have empty folders in a project.
I use a trick modified from something I learned from Scott Garrigus' website, DigiFreq. I created a .TXT file that contains the text
DEL /Q "C:\CAKEWALK PROJECTS\PICTURE CACHE\*
I saved the file with the name DELETEPICS and changed the file name extension from .TXT to BAT . When I double click the file it deletes everything in that folder.
Very well put together. I liked it. To me, that syncopated percussion instrument sticks out a bit, like it has its lows rolled off maybe a bit too much. Maybe it's just me and how I hear things.
Aaron's Sonar Mp3 Patch is not something that came with any Cakewalk version. It is a third party plugin that has to be downloaded and installed separately. I did an Internet search for 'Aaron's Sonar Mp3 Patch' and several sites that host it came up in the results. I just downloaded and installed the one from Softpedia, but haven't tried it yet.
EDIT: I just exported a project in the latest version of Sonar free tier and it seems to work fine.
What audio interface are you using? Many audio interfaces can do what I think it is you want to do without additional software. My Steinberg URC24, for instance, can record Windows audio while also recording the audio from its inputs.