The State of Delaware is entirely in the coastal zone, with a maximum elevation of 447.85 feet above sea level. The state fishing guide comments:

Since Delaware stream temperatures are marginal at best for trout survival in the summer and no reproduction has been noted, stocked fish are meant to be taken.

I take this to mean there are no wild trout streams in Delaware.  Perhaps there's a secret limestone.  If you know of one, let me know (I'll never tell)...

Otherwise, if you live in Delaware, your closest wild trout options are MD or PA.