Dragoons are supposed to be deployable infantry. Not shotgun-horses. The carabiners may be for this purpose but it is awfully gamebreaking and plainly ghey.
The ability to shoot from horseback is the only thing downright plain wrong in my eyes. And I can play the dragoon, thankyouverymuch.
Vide the bolded bits: I can't believe someone asked me to be polite to you.
Incidentally, Napoleonic-era dragoons are many things but they are mounted infantry only in a provisional sense. In fact, Russian dragoons had their firearms taken away from them to give to the footsloggers and fought most of the 1813 campaign as medium cavalry which differed from the heavies only in the size of their squadrons and brigades.
Dragoons also did shoot on horse, though mostly from standstill, or when skirmishing. Which is incidentally what musketoons are for, flankers skirmishing against each other at relatively short ranges.
And ALL cavalry excepting maybe some hussars and irregulars like Cossacks and Bashkirs, formally trained on foot first before going through the riding school, so any cavalry was also mounted infantry at a pinch. Which is why their regulations give them muskets or rifles, cuirasseers included, well, that, or killing opponents getting away from you on horseback when in pursuit.
To answer the OP: Hussars, the best choice since you're only hunting easy targets, might as well do it fastest with the snazziest uniforms on. French musician for me personally though the Prussians have the best melodies on the cornet.