In the early days DA/SA was a tradeoff. Given the time of the Crimean war (1853-56) and the Battle of Inkermann (1854), the Colt choices would have been a Patterson, a Walker or 1st/2nd/3rd Model Dragoon, an 1851 Navy, or an 1848 Pocket Model; most of the Colts I've seen or read about that have a history of use in Crimea were Navies.
The only Deane & Adams available at the time were the first 5-shot spurless (DA-only) models; the only choice was caliber. From the description ("one of your largest size Revolver Pistols") officer Crosse had a Dragoon in 34 bore (.49 caliber), shooting a conical. The Adams had no recoil shield so you sometimes got bit by backflash, unhardened nipples that sometimes split, and only 5 shots--but it was DA.
The most-likely Colt option, the Navy, was .36 caliber shooting a conical, and offered 6 single-action shots. There are probably more testimonials from British officers praising the Colt, as more were carried. Not DA, but a 20% increase in shots available.
The Crimean War took place at a fascinating time that saw the introduction of rifled muskets, conical balls, and revolvers, to large-scale European battles. If you get a chance take a look at The Destroying Angel: The Rifle Musket as the First Modern Infantry Weapon by Gibbons.