First post similar to the OP on a timely topic as the wife and I rent a townhome, and it just caught on fire last week displacing us for 6-12 weeks. The $90/yr we pay in renters insurance is now the best performing investment we've had to date. Hooray!
We had $22,000 in personal property coverage which was probably a little high, but you'd be surprised how quickly things add up, particularly cleaning of items from smoke damage - which can be done (successfully I might add). We carried renters primarily for the liability (thank goodness in this case) coverage and pricing it with and without the personal property left us asking why we would NOT keep the personal property. It was mere dollars for tremendous value. Even if you just had $15,000, I do not see why you wouldn't
What I underestimated was the cost for additional living expenses, and it's worth reviewing on your policy. Temporary housing adds up quickly if you live in a city with limited friends and family options. We love the place we rent, love the landlord, and love the cheap rent, so we are inclined to wait it out to move back, so we'll end up maxing the $4400 in additional living expense reimbursement from the insurance agency.
We're in our late 20s, and when we moved into this place 3 years ago, it was long before we found this blog/forum. I will say that I've found this fire to be quite liberating. Having all of your things destroyed in the course of 25 minutes is quite the clean slate. We likely won't replace 1/2 of what we lost with other, newer meaningless consumer possessions.