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Leaving aside the issue of whether he is or is not a tenant and therefore subject to eviction, the reality is that an eviction is the shortest method possible to get him out of the home.
If you choose not to evict him but, instead, sue to have him leave the house then the process will take months and then you will just have, functionally, the same order telling him to leave that you would get in a month or less with an eviction.
You can ask the police to come and read him the criminal trespass warnings and then try to file on him for criminal trespass and if they will make him leave then that's great. However, what they usually say is that "it's a civil matter" and won't get involved.
Under your facts, it actually benefits him for you not to use the eviction since it will take longer.
Are you thinking of a difference process to get him to leave? If so, what is it?