177 and a 3.33, how come you aren't deciding upon more prestigious schools? Not to be insulting, but you have some strong stats, so I wonder why these two school (which aren't bad schools by any means)?
That is an easy one. Late apps and two years of being unemployed after college. When I first decided to try for law school a year ago, my goal was USD. If I could get into USD, I would be so incredibly happy. I had a mediocre GPA at an okay undergrad, and I had done nothing impressive either during or after college. My LSAT was the only strong part of my application. (My personal statement was good as well.) Being able to choose between UCLA and GW is more than I ever hoped for.
First off, definitely UCLA over GW. UCLA is probably the best school outside the top 14, with the possible exception of Texas, and would be my first choice outside the top 14. (I might even take it over Gtown, NU, Cornell or Duke.) I also think it has a better location.
However, while you may have already accepted the UCLA offer, the best advice I could give you would be to wait and reapply early next year. With your numbers (and major) you're essentially guaranteed admission to a T-14 program (probably top 10), and most of these have great debt forgiveness programs. (Important if you want to be a PD.) On the other hand, you'll probably get scholarship money if you apply early to UCLA (or similar schools). You could definitely get a full-ride somewhere in the top 25.
Your LSAT isn't strong -- it's incredible. The ONLY reason you didn't get into more schools is because you applied late. (Assuming you don't have a felony conviction.) As far as being unemployed, you can always say you were traveling, or make up some other interesting story.
And your subjective assessment of where you felt you would get in (USD, etc.), is completely irrelevant. The bottom line is, you can get into better programs, and can probably get scholarship money from UCLA.
Therefore, unless you're already committed, or love UCLA to the extent you prefer it over T14 programs, and aren't willing to wait another year to start, I'd wait and reapply early.