Tbh, bard sounds a lot like what you are looking for. I didn't really solo much, actually i duoed to 20 with my ranger kiting stuff which was pretty fun. But if you focus on what you are doing as a bard you can be extremely versatile in a group; it's also very easy to get from a to b with travel songs. In the end you'll end up being pretty tough wearing plate armour, and it's not out of the question to be able to tank mundane stuff as a bard. Soloing as a bard isn't exactly running in circles. I usually find a nice spot to run a good distance back and fourth so when i pass back on myself the song dot hits the mob/s again. Plus, you don't have to move as much as other kiters- bard speed +/ - snare on a mob = its not going to eat you any time soon. In my experience it's not hard to get a group as a bard.
That being said, Rangers are also very fun and can have a lot of uses. Root on a melee is very useful, snare, and bow dps (1-about 20ish bow damage is pretty good even with the most basic stuff, and it picks up again at about 50) make kiting pretty easy- you just snare something and walk backwards shooting. They also get a very good 'tank' stance which can help you to not die in bad situations.
The best soloers are probably Necromancers tho. I haven't played a necro, mage or wiz yet so i can't really say from experience; but as a shaman i have pretty good dots and can solo pretty well- necromancers have the best dots, very good mana regen, a better pet than a shaman and snare so i'm pretty sure thats a no brainer. However you're not really going to be meleeing as a necromancer. Kiting consists of either snaring and dotting and/ or using fear. They also have a lot of group utility; mez, FD splitting and other stuff.
My personal favourite probably has to be Cleric though. I first played a shaman, then a druid, and then i got to cleric and saw how ridiculously good the heals are. Clerics are tough, loved by the community and get a sick hammer of many procs at 56. By 65, you can do 'decent' dps just melee with a cleric. Of course they are pretty poor soloers unless you get a good DS/ gearz.
Have you considered boxing; this opens up a lot more doors for you especially if you don't have that much time to wait for groups to come along.
tl: dr
Bards can do lots of cool stuff, kiting is really easy (you won't feel sick) and you don't have to rely on mana. Rangers are fun to play, Necros are really good at soloing and Clerics are awesome.