Are there any drum corps with trombones?

No, drum and bugle corps do not have trombones. Traditional drum and bugle corps instrumentation includes brass (trumpets, mellophones, baritones, and tubas), woodwinds (piccolos, flutes, clarinets, alto clarinets, bass clarinets and saxophones), and percussion (snare drums, bass drums, tenor drums, cymbals, and auxiliary instruments such as bells and xylophones). Trombones are not typically included in this instrumentation.