TIF, PSB and PSD files are very heavy compared to other file formats, and the size of your layout is also huge.
In general, a good workflow to increase performance is to keep an editable version of your Photoshop file with the layers and use a flattened version of this artwork to import in Illustrator.
To fix your issue, you can use another file format to import your Photoshop artwork into your Illustrator file:
- PDF flattened
- EPS
- Even JPG at maximum quality for that kind of project
If you are working on your file and using the high resolution file slows you down, you can always save you file as low resolution and relink it later with the high resolution version when you're ready to export your print-ready.
Related:
Working with physically large (150''+) canvas sizes
Creating large banners to be viewed from a distance, at a size Illustrator can't handle
