"Long term rental" was the term I was looking for, perhaps not "lease" - my apologies.

The last time I went back home and needed a vehicle for 8 weeks. I went to a car rental place that offered me a "Short term lease". He told me it was cheaper than renting a vehicle at the daily rate. Cost ended up being about 250 per month. The car was 10 plus years old, it had bumps and scratches but did the job.