My commuting fixie has an old Surly bolt-on hub, using the nuts for a BOB trailer (i.e, you don't necessarily need track nuts, either; aside from being able to tow a trailer with them, the BOB nuts are a lot beefier and you can crank them down more than track nuts).
But for my long distance fixie, I have a Phil Wood hub with a quick release. The Phil Wood hubs come stock with bolts (yes, bolts, not nuts) but you can swap out the end pieces for ones that are designed for quick release and which are sold separately. I like the quick release better on that bike for several reasons. The most obvious is that it makes fixing flats quicker. I'm also more inclined to take the wheels off that bike and load it into the car to go to a ride somewhere far away, which I never do with my commuter.
I also find that I need to re-tension the chain every 150-200mi or so (more often in the rain), which was also true when I used a bolt-on hub. But the quick release makes it, well, quicker. And I do enough rides longer than that, that I appreciate making it quicker and easier to do mid-ride.
But the biggest reason why I switched is that I was having so many issues tightening the bolts down enough to keep it from slipping. I went through track nuts at a rapid rate until I switched to BOB nuts, and even still, I'd mash through washers and put a lot of stress on the dropouts. At one point I found that part of the track nut had forced its way into the dropout and started spreading it. With a QR there's no rotation; you just close the lever really, really, really tight. So there's way less stress on the dropouts. I use it with good washers on both sides and haven't had any further problems, and I've been riding with the QR for at least five years now. You need a really good quality skewer though, that gives you a lot of "bite" and won't strip when you crank it down really hard.
It definitely has nothing to do with the frame, just the hub. Dropouts, fork ends, whatever, the frame doesn't care. If it's a Surly hub (highly likely if you bought a stock Surly as a complete bike) I think you can get a replacement axle to swap in that you can use a QR with.