@Alissa Rodman
I don't think selling will affect your credit score much. But if you do not have another place to live, and have the income, I personally don't think selling is the best choice, either.
First, it will generally cost between 7-9% to sell ($206k × .08 = ~$16,480), so you would most likely have to bring money to the table. Maybe less if you have already identified someone to purchase for cash who does not have or need an agent. On top of that, you would then have to find a place to live. Your costs may be less than $1700/mo, but the living conditions most likely would be a step down. If you compare your mortgage payment (along with the tax advantages and equity gain over the longer term) to the cost of renting a comparable place, staying may be the best choice.
That said, if you decide to move, I think selling now is better than 4-6 months from now. I believe covid will affect Austin in the short term, and housing prices may dip over the summer. Too many people have pulled their homes off the market now or are holding off until stay at home orders are lifted. Between this, the "normal" seasonal increase of home sellers in the summer (which, when combined, may cause a short-term glut), and the reduced number of buyers able to buy due to current economics, I think prices will go down before they go back up.
If you want to discuss this further, feel free to Connect and/or DM me.
Best of luck!