Here's how I would do a basic comparison between the two:
Best case, you need no health care at all during the year.
HSA plan would cost you $192/month * 12 months = $2,304
Non-HSA plan would cost you $240/month * 12 months = $2,880
Semi worst case, you need millions of dollars worth of cancer treatment, but you find decent care options within the network.
HSA plan would cost you $2,304 premiums + $4,500 out-of-pocket maximum: $6,804
Non-HSA plan would cost you $2,880 premiums + $4,000 out-of-pocket maximum: $6,880
Worst worst case, you need to go out of network for some of your care.
HSA plan would cost you $2,304 premiums + $15,000 out-of-pocket maximum: $17,304
Non-HSA plan would cost you $2,880 premiums + $15,000 out-of-pocket maximum: $17,880
In the best case and the worst cases the HSA plan comes out a bit ahead. What about in between? The non-HSA plan has a lower deductible but higher coinsurance. From what I can tell, the only in-network thing you actually have to pay for with the HSA plan after hitting your deductible is prescriptions, and even then it's limited to $1,000 of copays. Is that right?
The non-HSA plan seems to do best if you have just enough medical bills to hit the HSA plan deductible: you'd be about $2,000 behind by going with the HSA plan in this case. As your medical bills increase from there, the gap narrows because you're going to be paying the coinsurance or copays on the non-HSA plan.
This is before considering the tax benefits of funding an HSA. The tax savings depends on your tax bracket; the more money you make, the better of a deal it is. Figure out the tax savings from the HSA and add it to the benefit (or disadvantage) from the HSA plan in the different scenarios you might envision for medical care, and use that to come to a decision. It will probably be the case that you can envision scenarios where either plan is a better deal; you just have to guess how likely each of these are and weigh them against each other. From what I can tell there isn't a huge amount of downside to either choice.