Hi Laura!
Nice name, by the way. 5K does sound like a punishment, or it did to me, until I trained for it. I'm like you, yoga and weight bearing-ly gifted. While training for 5K takes most people 8-10 weeks, it took me more like 4-6 months. I could walk miles, but jog them? No way!
I used the Podrunner 5K interval training, with obvious repeats of the more horrendous weeks. As I progressed, I thought, "This is horrible, I'm never getting better at running and it's always gruelling. I hate this!" That is, until I had to use an earlier week's shorter podcast due to that day's time constraints. What seemed difficult during week 4 was easy in week 6. Progress!
I've not lost an ounce in the past year of running,

but have run 4 5K races so far. My next one is October 4th. It'll be tough, since I'm letting my Achilles tendons heal a little and not training as much, but fun.

I love always pushing to be even a second faster than the prior race. I'd never thought I'd ever want or be able to call myself a runner, but there you go!
Laura