Visual Artist with a weird question regarding Premiere

Hello!

I'm an visual artist who has made video art in the past and have a strange question for those who understand Premiere Pro better than myself.

A few years back, I made a series of video collages using Final Cut Pro X where I used multiple video clips stacked on top of each other. I used the garbage matte tool to cut out the parts/shapes of the clips I liked and put them next to other clips, hence forming a collage.  The technique I used was incredibly crude and ineffecient (I propabably used over 90 different clips all cut and stacked on top of each other) but I really enjoyed the effect, visually.

Below is an example of one of my video pieces using the technique mentioned:

Does anyone have suggestions on how best to accomplish this same type of collage effect with Premiere? When I use premiere and attempt to layer even a few clips (2 or 3) it gets super slow and glitchy. I have rendered the doctored clips but even then it seems like my computer can't handle so many layers.

Does anyone have any suggestions for such a naive visual artist as myself? 

Can I accomplish this with premiere or do I need to try with different software?

Thanks so much!