It's an obviously standard call against this villain, even given the grossly overbet 4bet shove on his part.

For the math, follow Belt's equation:

Equity needed = (Amount to call) / (Amount to call + pot)

So if the pot is $10, and villain shoves the river for $5. The pot is now $15, and you must call $5, so you are getting 3:1 pot odds. Using the equation, you need:

Equity needed = (5) / (15 + 5) = 5 / 20 = 0.25 = 25%,

Which is the same as if you did it via pot odds and got 3:1, which putting that in % is 1/4 or 25%.

Now as far as your range... You say you have 69% equity, and you very well might have. But you say you've added small suited connectors to his range because you have seen him open with them before. Do you see the flaw in this logic? You shouldn't be factoring your equity against his opening range, but against the range that he 4bet shoves. Just because he opens small suited connectors doesn't necessarily mean he 4bet shoves them over a large 3bet. If you are factoring your equity against his opening range, then you are assuming he always 4bet shoves 100% of the hands he opens here, and that's obviously not the case, as he hasn't done this before. So, you need to factor QQ's equity against the range of hands he might 4bet shove.

And, instead of sitting down figuring he will 4bet shove 44-AA, AT+, KQ+, etc (not saying that range is correct, just an example), all you really need to do is see what hands he needs to have, and if it's a call against that range. If it is, then against a wider range, you are going to have more equity. I put in a range of {JJ+, AK}, and against that range, you have the needed equity to make a call. Now we know it's incredibly obvious that this particular villain has a wider range than that, so the call only becomes more +EV as the range gets wider. So the call is obviously +EV.