There are business-type, sleek, streamlined slingbacks that I think are designed to be worn in professional situations in warmer weather so you don't have open toes, which some people think is unprofessional. Those I think might look weird with dark tights, but it does depend on the shoe, the rest of the outfit and your general attitude/style. Then there are shoes like in the second picture that are funky and chunky and also have a slingback, and I think they are amenable to being worn with tights and with a less structured outfit. For some reason, your outfit sounds more office-y than funky to me, though I'd have to see it, and that to me suggests no tights.
Get used to me. Black, confident, cocky; my name, not yours; my religion, not yours; my goals, my own; get used to me. -Muhammad Ali