By coincidence I have my Charter Bulldog on right now. I had a lot of experience with the original in the early 80s and, again by coincidence I have it because of a Rossi.
I have to explain.
I was at a gunshop out of town and handled a Rossi 3". I liked it, and the wife and I have several Taurus and one Rossi revolver no problems. I knew the Rossi was not the light weight that the Charter is but I think the 3" barrel is perfect for carry and gives a longer sight radius that I appreciate. At the time the Charter 3" Classic wasn't reintroduced yet. I debated that Rossi long and hard, but I passed. I came home and stewed on it for a while. I called the shop and the Rossi was gone. I caved and bought a new short barreled bulldog----6 weeks later they announced the return of the 3" Charter GRRRRRR.
SOOOO as it applies to the OP, If it were me, I would go by the barrel length if the Charter is the Pug I would hold them both and decide if I was comfortable with the weight of the Rossi (it does make it a bit easier to shoot) If they are both 3"'ers I would go with the Charter and have the best of both. BTW Charter actions smooth up nicely with use. Many are put off by the initial "new" feel, don't worry it gets better.
Sorry if this was long, but there were lot of factors. The extra inch of sight radius is really that important in barrels that short.