I'm not in CS, but I agree with MrEricSir. Not only is presenting at a conference a big confidence booster, but it can also open up a lot of doors for you if you impress the right folks with your presentation. I watched a colleague present a paper at a conference last year only to seem him be approached afterwards by no less than three different people giving him contact information for potential job opportunities in the non-profit international law sector.
Again, that's a pretty long way from CS, but it's probably more common than you think.
Find the money and go to Utah. Maybe try to find a pertinent mailing list and see if there are other people who're in a similar boat who'd like to split the cost of a room with you. Depending on how big the conference is, it might be fairly easy to find someone.