Very simple get airborne, climb within the circling area to either the MSA or LSALT then depart overhead/on track. Used to do it all the time.
Alternatively you could do the DME arrival in reverse, a little bit tricky of you're not used to it.
Otherwise you can figure out you're own LSALT on a radial off the VOR (in your case over the ocean) with a ruler, pencil and a map! Climb out on that radial then once high enough set course.
Option 1 is usually the easiest and safest.