It's not just "acceptable" but more likely "most common" or at least "one of the most common", I think. In fact, it's the expression that came to my mind at first.
@The OP, 近く and 遠く are exceptions. These words perform as a noun "near/distant place", unlike the -ku form of most i-adjectives.
e.g.
大学の近くがいい
大学の近くを通り過ぎた
大学の近くで事故があった
大学の近くのアパート
Yes, it sounds natural.
@The OP, as you can see, there could be mistakes in expressions you thought correct, so the point might not be just のに vs. が. This is exactly why I asked to show your final idea in your another thread.