There are some fairly small streamers out there that will handle DSD. iFi would be the first place I would look at. The OP said he doesn’t want a large box in that system-I get that- and I haven’t heard the greatest feedback about the company - but if he only needs it to play DSD files it might be worth taking a flyer, particularly if he has a return policy.
Another small footprint solution might be a MacMini. He would have to verify that a MacMini can handle DSD. Also the last time I owned one , over a decade ago, I had to attach a monitor to it, which I wall mounted to save space. However I would think that it should be possible to control with an iOS app on a portable device