.. (Appeals Court) Rules (Phone Search) After (Arrest Violates 4th Amendment) --nonsense
"phone search after arrest" is terribly confusing, though "post-arrest phone search" is clunky.
"Appeals Court" is probably the strongest 2-gram in the headline:
https://books.google.com/ngrams/graph?content=texas+appeals%...
(Texas) Appeals (Court Rules Phone...) nope.
(Texas Appeals) Court (Rules Phone...) nope.
(Texas Appeals Court) Rules (Phone Search...) yes.
Most of the words can not only both be verbs and nouns, but many appear to conjugate correctly as verbs when the preceding word is interpreted as a noun: "Texas Appeals", "Appeals Court", "Court Rules", "Rules Phone"*
*"Rules Phone" doesn't make as much sense, as rules are typically unable to phone anything, including searches.