Scales to Play Over Bm11
Every chord is a subset of several scales: any scale that contains all of a chord's tones fits over it. Pick a chord to see the matching scales from its own root, the major keys the chord belongs to, and full fretboard diagrams for every scale on guitar.
A Bm11 chord contains the notes B – C# – D – E – F# – A. Any scale that includes every one of those 6 tones fits over it — from the root B, that means B Natural Minor, B Dorian and B Dorian Bebop. Start with the first scale listed: it is the most common choice, and the others color the same chord tones differently.
Bm11 is also diatonic to 2 major keys: A major (relative minor F#m), D major (relative minor Bm). In a song from one of those keys you can also solo with the key's own major scale or its relative minor pentatonic across the whole progression, not just this chord.