The interesting part is the seems like a deal compared to cost of living of San Fransisco/Seattle and the salary slash of working in Phoenix/Las Vegas/Denver/Salt Lake/Boise.
If you are staying in the city four nights a week you'll probably be better off getting a studio apartment, both in costs and comfort. SLU studios would be ~$2100/mo with utilities. If you assume $5000 for initial furnishing a studio will cost $30,000/yr instead of $50,000/yr for a hotel.
It'll also be faster to go between SEATAC and SLU on the Link Light Rail than an uber (unless you are traveling between 9pm-6am), which costs $2.25/ride compared to $50. So that reduces the costs by another $5000.
If you claim Washington state residency you can probably stop paying your current state income tax (Washington doesn't have one) which will save you thousands or tens of thousands a year.
After looking deeper into it my $15,000 estimate is way too low, but your $85,000 is much higher than reality for Seattle.
The interesting part is the seems like a deal compared to cost of living of San Fransisco/Seattle and the salary slash of working in Phoenix/Las Vegas/Denver/Salt Lake/Boise.