Python- Pulling from a normal distribution with asymmetric error bars

I'm trying to write code to pull a value randomly from a normal distribution with asymmetric error bars. Basically I'm trying to use the equivalent of np.random.normal but be able to define an upper and lower sigma that are not equal. I don't want to use scipy.stats.skewnorm because I don't know how skewed my distribution is in terms of one parameter, I only know the + and - error bars. How would I do this?

Thanks for the help good people of stackoverflow!