It is perfectly all right to stay on Induction for up to 6 months. However, I would encourage you to try the next phase, Ongoing Weight Loss. It wil allow you to incorporate more types of food into your diet (berries, a greater selection of vegetables etc) and avoid boredom.
If you are concerned about the carb count, you can stay at 20 carbs in OWL as well. But you will be free from the Acceptable Foods list, so to say.
Also, transitioning to OWL will make it easier and smoother to transition into further stages, incorporate more foods and eventually go into Maintenance. It raelly has to be done slowly and gradually, "by the book".
As for snacks, you are right, dried fruit is a massive no-no (LOTS of sugar!). You can snack on vegtetables - celery, radishes, daikon, also on cheese cubes or flax crackers/muffins, sugarfree jello (jelly?), cold cuts of meat, salami slices, ham-and-cream cheese roll-ups, lots and lots of stuff.
Congratulations on your success!