Sure, exit 229 or 230 will put you in a good location, and fairly close to HWY44. There's quite a few places to stay for the night in that area. Lots of restaurants, gas stations, and retail shops in that area.
Also, don't wanna scare ya, but trailers seem to be a hot commodity in this state. I'd use a good padlock to secure it to your truck.
Are you using electronic or paper navigation to get here and back?