I'd rather take an Intrepid-Class or Prometheus.
The Intrepid has a smaller crew (slower consumption of resources as previously stated,) she's more modular for Klingon-style hull conformal cloaking devices / holographic masking devices. VTOL capability. Greatly reduced tactical profile & nicely sufficient scientific sensor + probe deployment capability.
The Intrepid-Class isn't especially well-armed but she's agile/maneuverable as a scared rabbit, especially now that we're aware of its ability to withstand VERY SHORT burps/hops of Q.S.S.
There's also the Intrepid's Aerowing and general ability of Federation ships to repair/manufacture spare auxiliary craft as needed, (when raw materiel is available to refine + deploy necessary components.) The Intrepid's modest diplomatic grade & the fact the Intrepid doesn't leave the "we come in peace, shoot to kill" first impression.
The Sovereign is good for staying close to home as she has size on her side, slightly greater range, equal or slightly better armor/sensors, and weapons stores, but that also makes her more vulnerable. She can't easily hide in asteroid crevices, she can't wiggle/dodge & fly through debris like a Defiant, & she may have saucer separation but (once its separated) the saucer's not warp capable.
So the Prometheus has weapons & speed upon separation, so I'd use her as the Intrepid's "big brother" (to escort container ships supporting the Intrepid on a three year mission & to tow them both out of a fray, when necessary.)