Thank you for providing the information above, I see the reason for the confusion (and some suggestions as to how best to proceed at this point)...
As you indicated (and for anyone following along) HOTWIRE lists 1BR and 2BR as amenities for this property, and although neither are actually amenities per se (i would more so classify these as 'room type/configurations', i do see the reason/benefit for HOTWIRE including them in this section (so that search results can be filtered/sorted). When you think about it, a room can't be both 1BR and 2BR, these are actually mutually exclusive as the room you are ultimately assigned can be either 1BR or 2BR... but obviously not both. So for anyone that is considering booking this hotel (or something similar in the future where both 1BR and 2BR are shown as amenities), note that the only one to ensure the room configuration you are needing is to select the specific ROOM TYPE desired (when a choice is offered)... when no option is offered it will likely be up to the hotel and what is available at check-in.
So what to do at this point:
I'm still not certain of your actual dates, but using the a subset of the dates you provided above it appears that the rate difference between the 1BR and 2BR suite at the hotel website is ~$30/nite.
I would start by calling the hotel, and without mentioning any existing reservation at this point, inquire as to the cost of 1BR and a 2BR suites for your dates to ensure that a 2BR is currently available for your dates, and if so, what the price difference is between each room type (1BR vs 2BR).
At this point now let the person on the phone that you have an existing reservation (provide them the hotel confirmation number provided by HOTWIRE) and how much it would cost to upgrade to a 2BR suite. Assuming if it's ~$30/nite (or some other number that is close to the difference in room cost for a 1BR vs 2BR suite for your dates) you may want to simply agree to pay the amount upon check-in, assuming the amount is acceptable to you to have the issue resolved and ensure the room type you need. If the amount to upgrade is much more than the price difference per nite between the current 1BR vs 2BR room rates, explain to the person on the phone that you would like to upgrade if the cost would be the price difference between the two room types (which seems fair to both you and the hotel).
If the hotel is sold-out of 2BR suites for your dates and/or is not willing to upgrade the reservation at any price, then you'll have to try to reach back out to HOTWIRE (via email is fine if you have some time before your stay... phone better if your stay is much closer to arrival). Once again briefly explain the situation strictly keeping to the root of the issue, which (as i have come understand it and what i believe the problem to be) is that the hotel shows both a 1BR and 2BR description, which is not really possible for the room that you would be assigned. You would like to reach some sort of compromise before escalating the issue any further since you believe you each have some level of 'responsibility' in the situation... you for not making a screenshot or receiving an email transcript of the chat and them for not making the 1BR vs 2BR room assignment clear from the description that they provided (which you did try to clarify before purchase, but don't have anything to prove it). See what they offer (if anything) and/or offer your own suggestion as to what would be fair.
NOTE: i'm not suggesting that you are or are not at fault, but trying to offer an objective approach to have to resolve the current situation so that both parties walk away thinking that it was a fair outcome... each side usually needs to give a little, even if the 'giving' is accepting some of the responsibility even if deep down you don't feel that you ultimately were responsible.
ideally you can upgrade directly with the hotel for a reasonable amount, but if not and HOTWIRE doesn't offer anything reasonable, my 'counter-offer' would be to have them cancel the reservation and the amount paid be offered in 'Hot Dollars' (HOTWIRE's version of a gift certificate) which can be used for a future HOTWIRE purchase. This helps you re-book for something that does work for your plans while also ensuring HOTWIRE that you give them another try in the future.
It has been awhile since i had to directly deal with HOTWIRE's customer service, and while i know they have greatly improved over the years, it can still be frustrating and difficult to get somebody on the phone to actually listen to the situation, understand the problem, and have the authority to offer a solution (often it has to go up the chain which it appears you have already tried and/or are in the process of doing)
Any questions / comments regarding the above feel free to ask.
Good luck and let us know how it goes.