A month away from a Spartan Race

Hello. Long time lurker. Back in April after completing an obstacle course race with some friends, I thought that maybe I'd like to try a Spartan. The race we had just finished was very much like a Spartan...3 miles of running and 14 obstacles, and I got through it just fine. Ok, so the monkey bars were a joke and I needed a little help on the 9 foot wall, but everything else I did just fine. This was in April. Did another one in May that was longer and had more challenging obstacles and that one kicked my butt. This was after continuing my running and gym routine. So I joined CrossFit. I figured if that program can't prepare me, nothing can...I'm useless. I thought I was in pretty good shape when I joined. Turns out I was so wrong. But now after three months of CrossFit I do feel I'm in way better shape. So now, I'm a month away from this Spartan. It's at Killington in Vermont which is the second highest peak on the east coast, so I know there will be a ton of climbing and general up-hillness. Should I step up my training in some way? Right now I go to CrossFit three days a week, and then do 3-5 mile runs for two days a week. I'd also like to add that I'm 54 and female, and I work full time and manage a home and college age kids by myself, so I'm pretty busy. Any suggestions?