This book offers 51 LDS hymns and primary songs for guitar. Provided are guitar chords for accompaniment (with chord diagrams). Each song has a recommended picking pattern. You will have to sing to provide the melody line in these arrangements. Strum patterns that are taught are the Basic 4 Pick, the Basic 3 Pick, the Pussywillow Pick, the Syncopated Pussywillow Pick, the Run Pick and 3 Away Pick. There is a Volume 2 by this author as well.
If you are looking for LDS guitar solos that carry the melody line (classical style), try Lawrence Green's Easy Hymns for Classical Guitar published by Universe Publishers.