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The Suzuki method IS an excellent approach and is suitable for students at all skill levels, since you can progress quickly through the books until you get to the level where you are challenged.
I also like the Suzuki method because it encourages a very relaxed, natural position for holding and playing the violin with nice rounded fingers, no stiff arms, and no "chicken wing" elbows.
I listened to both the Israeli Concertino and Czardas to get a feel for the challenge you are needing.
If you have not yet played them, I recommend the Seitz concertos for violin. Although they do not go in position as does the Israeli Concertino, they include a few tricky passages plus, I feel, are lovely pieces. I enjoyed them immensely when I was in 4th or 5th grade in elementary school because they felt like "real" music:
Concerto No. 2, 3rd Movement (F. Seitz)
Concerto No. 5, 1st Movement (F. Seitz)
Concerto No. 5, 3rd Movement (F. Seitz)
I also love pieces by Vivaldi, whom you have probably already played since you don't want music by anyone famous, but it is possible you haven't played ALL his pieces for violin. If not, I recommend these because they can be challenging yet not *that* challenging:
Vivaldi Concerto in A Minor 1st movement
Vivaldi Concerto in A Minor 3rd movement
(Fun!)
Vivaldi Concerto in G Minor
Other possibilities:
Weber - Country Dance
Nigel Hess - Ladies in Lavender
Edward Elgar - Salut D'amour, Op. 12
(goes higher than 5th position but only occasionally)
Franz Schubert - Standchen Serenade violin
Short and sweet, it goes into position a few times
Sergei Prokofiev - Dance of the Knights
It goes higher than 5th position a few times, but it might be a good stretch.
* * *
Here are the recordings I found and like of the two pieces that form your lower and upper limits of difficulty:
George Pearlman - Israeli Concertino for violin and piano
Monti Czardas played by Clara Cernat
thank you very very much, I just adore these Seitz concertos you sent