I've seen Sigvart clear 5k dps numerous times while solo healing Lower Corridors. Granted, he's super-human, but yeah wardens can parse quite well. Uluwen already laid out pretty much everything for you, and nailed it.
If you solo heal a lot, make a hybrid build. Of course, if you don't raid there's really only one build to bother with for melee spec in KoS (STR/STA/INT). INT line is better than it looks. Infusion will keep your parse up while your healing, you get an extra CA, and the +spell crit will help your procs to crit. damage proc gear will make up a substantial amount of DPS as a warden, given the limited number of attacks we get.
with the melee spec AAs it's very easy to max double attack and melee crit with only a few pieces of gear, so the big thing is +DPS mod, just so your auto attacks hit harder. +combat art damage is also good. If you're backup healing a group keep Instinct for yourself to help your hit rates (+pierce/crush/slash as Uluwen said).
Also, make sure you time your autoattacks so you never miss them. Once you get a solid 2hander this will pretty much make or break your parse, just like any "real" melee dps class. If you raid VP at all, try to get the 2hand staff from Nexona. It's a beast of a weapon and useful for basically nobody, so I doubt anyone else would want it. I don't have this or the Thex Mallet (my warden is only 78), so I'm not sure which would parse better, but I think the Supple Dogwood staff would hit harder, though the Thex Mallet will add some healing power making it easier to DPS and keep your group up. Get both, if you can!
My 78 warden in it's craptastic gear can get 1k zonewides backing up a crappy healer, but I'm still learning the class too, and only have about 110 AAs.