I think you need to spend more time in Austin.
I'm sorry all this has happened to you or if you feel like you were taken advantage of...
If you need to cut expenses hop an overnight flight. Spend the day, take the last flight out. If you're going to spend $400-$500K you'd better know your neighborhood inside and out.
Especially as an investor, you need to have looked at 25 or 100 houses before buying one. Go on a Sat/Sun and hit all the opens all over the city. See what the other houses look like. Once you are in the option period, go in all the rentals around where you are buying...see what the competition looks like, see what the rates are.
Have you talked to the inspector? Smoke detectors are on the inspection report? Is it missing? Were they called out? Did they get hot water?
Not sure how old the house is, but no outlets in the bathroom is weird? As a realtor/broker that's probably not something I'm looking for, but I think a good inspector would catch that or call it out. Not sure they were always required. How old is the house?
Is the flipper reputable or fly by night? Might talk to them about it too? Obviously some will say sale is done, see you later, but some have a reputation to uphold in the area, and might come back to fix/update or help you.
Did you get a home warranty? Fairly standard in my market, but in multiple offer situations we do see it go away frequently. You do have the option to pay. That might help with water heaters and HVAC units. Did your inspector note the age on the reports of these big ticket items? If they're old...like more than about 8 years, they could go out at any time. Did they note the brands? Do you know which brands tend to last longer than others?
I know $7300 sounds and feels like a lot of money, but it is probably something you should budget for now and in the future. Budget for vacancy now and in the future. Austin is very transient. It would not surprise me if you have turnover every year....so you might have one month vacancy and one month rental fee.
You might want to use a consultant as well if you want to be hands off and outsource all your due diligence. Pay another realtor or two to give you an opinion on lease times and rates for that specific property while you are in option.
I don't want to throw your realtor or inspector under the bus, but I think you have to be aware sometimes of who you use....and how they talk....I hear a lot of realtors for example...say stuff they shouldn't....that's a solid house....that foundation is solid...I'm sure I can rent it for X..... is X at the top of the range you see on the CMA, at the bottom, in the middle? What do you think the numbers are? I try to be very very conservative with my numbers, but many are very very optimistic....
Hopefully you get the fixes made...they last....and you get some great tenants who will stay forever, never call, never complain, take care of the place like it's theirs...and you start cash flowing soon.
By the way...can you work remotely? Can you spend a week in Austin in a sleeping bag in the house if it is vacant? Can you stick a sign in the yard and have open houses every day while you're there working? You might do better to meet the tenants yourself. Get to know your property. Get to know the neighborhood.
Best wishes.