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It should print just as good with only 1 perimeter wide (I assume that is what you meant). Another option you could try is to use Meshmixer:
Edit: Generate Face groups -> acccept, than click Select, click twice quickly on outer wall, Edit: Offset, choose distance you want, put accuracy to 100, play with some other settings and you my get what you want.
I don't have exact tutorial on this. This one is close:https://www.youtube.com/watch?v=aXBd37Hcl9E
At 1:28 he makes Face groups. After that you should use edit:offset instead of transform.