I have 3 properties in Bremerton.. 2 of them do ok and I'm probably breaking even long term on the other if you factor in loan pay down..
As Alex said and I'm sure you know the entire city is totally reliant on navy/shipyard which seems to offer both a little protection in that here is so many guaranteed high paying jobs going to people who actually want to rent not buy so keeps rents high and strong... The flip side to that coin is obviously if the navy/shipyard scales back or goes away (imo highly unlikely but it happens, shipyards close and things change) the entire city would be devastated..
There may be some small appreciation coming our way near term though, with the huge boom Seattle has been going through and the fact that nobody wants to drive in Seattle means a trickle down effect in surrounding areas and a ferry ride is a pretty good commute option for people. Bremertons piece of this Seattle boom trickle down will probably be pretty minor though compared to the areas around Seattle already on the other side of the sound.