So just to update this post, I decided to extend my stay to August 21st. So I looked on Priceline.Express through the above link, and they had a 4* in MTE for $169/night. With the 5% off coupon, the total price was $1956 inclusive of all fees.
I went to Price.line through the link above, and started at $130 and bid up to $160/night. Checking in August 16, checking out August 21st... at a bid of $160, the total price on PL with fees was $1929, and I was rejected at that price. Any higher would have put the price equal to the PRICELINE EXPRESS deal... and I wouldn't have known which hotel or location I might be getting a hotel in. So I opted to go with the Express deal.
It ended up being the One UN hotel in Midtown East.
Interesting side note - I actually knew 100% it was the One UN before I booked it... when I clicked "Book it" and on the page where you enter the coupon code, it asked me if I wanted a "superior room, East tower" or "deluxe room, west tower". With this information, it was trivial to figure out exactly which hotel it was.
I've stayed at lots of NYC hotels, but never the One UN... so hopefully it will be decent.
Thanks for the help!