CCW for a runner

I'm an avid runner who doesn't usually carry when I run due to sweat and general awkwardness. Also the fact that I run with a fully grown Belgian Malinois. Lately, though, I've been taking the train from home into Seattle where I work, then running the six or so miles to my job. It's a great way to incorporate my workout into my commute, as well as saving money and time, but it means I don't have my dog, and I'm running from the stadium district right through all of downtown, so I'm looking for a carry rig. I've looked through some past discussions here and and some online resources and haven't found anything that suits yet.I carry a G2 Glock 19 that's pretty stock. I sweat a lot, so if I wear a belly band the gun has to be protected. I also carry with a round in the chamber, so having the trigger guard fully encased in Kydex is non-negotiable. I've considered the Hill People Gear Runners Kit, but it really draws the eye in oh-so-conservative Seattle, and I'd like to be a little more low-vis.I've learned a lot on this sub, and would appreciate any pearls of wisdom y'all can provide. Much appreciated, in advance. via /r/CCW http://bit.ly/2v1SlXQ