No way you can run a moderate power HPS in the closet you've described without any forced extraction. Yer plants will cook. I have a 2' x 6' x 8' closet and I run a 5" extractor (no carbon filter or silencer), two 12" recirc fans to exercise the girls and keep airflow good, and a 4 inch active intake for fresh Co2 laden air. All this to keep a 1000 watt rig from giving my plants a permanent orange afro. At some point you will have to cut and run.

Like the idea of buying spare doors to cut and then replace them when you move. I did the same. You can't have your cake and eat it. You're either growing or your an angelic tenant. Make your mind up and start having fun.

Widow.