Alternatives for eviction when courts give continuances

[Toni Conway]

I have an LTR in Pflugerville, TX (outside Austin) with a tenant that stopped paying rent last October with no valid reasons given. My PM has been following "their process" with the lawyers, but the courts continue to issue continuances when the tenant claims unhealthy enough to appear.  

Their lease is up in April! Do I have any other options for eviction once they are technically illegally occupying a home (no longer under a signed lease).  Has anyone experienced this and would be willing to share recommendations?  

(I've never had an eviction yet and was devastated to find out that the process to get money owed is even worse and the collections teams take 40% if they recover).  

Thank you for your advice!!