We were just there last fall for career course as well. We didn't even attempt to get on post housing and the people who did were on the wait list and got a call that housing was available about a month before the course was scheduled to be over. It could have changed since it's been a year but we just went with an apartment off post.
We actually rented in Chester, VA. It was about a 10 minute drive for my husband to get onto post. Rivermont Station is where we lived - they are very nice, new, under our BAH (we had a 3 bedroom, 2 bath) and in a nice area. In my opinion, the closer you get to post, the rougher the area seems to be. Chester had lots of grocery stores, restaurants, a great place called 'The Playroom' that was an indoor play area for little ones (they do/did a military discount), a Starbucks that has a weekly storytime (it is AMAZING - they are wonderful with the kids), a Chick Fil A that does a story time during the school year, the public library was about a 5 minute walk from our apartment and they had a great storytime too. We really liked being in that area.
If you have any specific questions I'd be happy to answer them!