You will inherit the leases.

You wouldn’t be able to because no one else would want to inherit this 10-year lease.Honestly, the only benefit I see in this arrangement is to the tenant.

My fiancé inherited a home with his siblings.

My grandmother and her sister inherited a 2 bedroom 1 bath + bonus room home in Southern California from my great grandparents.

Most of our tenants have it, but some of our inherited tenants ignore the request. 

The home is worth about $450,000 (Southern California) and paid off (inherited).

Case law also supports 'grandfathered' fences that are inherited through the property purchase and passed inspection at transfer. 

Also, what if the old tenant got inheritance from a rich uncle and seriously wanted to exercise his option while the new tenant was installed in the morning property?

One-at-a-time flips are going to take too much time finding and closing deals.  3 good sized turn around/value adds ought to be enough, I think.The only other thing i can think of would be note investing in a self-directed, inherited Roth IRA. 

Any existing leases are inherited by you, including all T&C's.