I have an HDHP -- no premium to me and my company seeds my HSA at $145/mo, so I make a little over $1700 a year on that plan. That's worth it to me, because I'm 32 with no real health issues; I don't spend $1700 on care in a year.
That being said, I sometimes end up having to go in for an office visit other than my physical once a year -- this year, I had bronchitis after the flu and was travelling across the country to help my very sick mother recuperate after open heart surgery. I definitely went in to see my doctor, because I wanted the OK to even be near her, as well as meds to reduce the coughing as quickly as possible. That visit cost me nearly $500 out of pocket. On my plan, I'm still $1200 in the black. If I'd been on your plan, that would have eaten up the "earnings" on the plan and then some.
Given that, I would say that if you anticipate one office visit outside your physical per year, the decision has to be made solely on the basis of whether access to the HSA is worth it for you. If you think it's very, very unlikely that you'd have an extra office visit, then the HDHP plan would be my choice.