So as ever, it is worth prefacing by noting that there has been a move by some historians of Central Asia quite recently to do away with the 'Silk Road' concept, amid a more general complication and problematisation of the idea that's gone on for decades. The reason you are unlikely to find accounts of The Silk Road is that there never actually was one – long-distance movement of goods was never really an intentional process on a specific route, but rather the emergent property of numerous intersecting local trade networks. Scott C. Levi's book in the linked answer, The Bukharan Crisis, is the most concentrated deconstruction of both the traditional and revised 'Silk Road' concepts out there, and my first recommendation.

That said, it's not as though there were not still phenomena that get pointed to as forming part of the 'Silk Road' in practice, and for that, Valerie Hansen's The Silk Road: A New History (2012) is probably your best bet for an academically solid general overview of trade networks and connections in premodern Eurasia. Frances Wood's The Silk Road: Two Thousand Years in the Heart of Asia (2002)... exists, but I've not read it myself, and Wood also became rather infamous among historians of China for her insistence that Marco Polo never went there, which is generally regarded as pseudohistory these days. Even less recommended – i.e. not at all – is Peter Frankopan's The Silk Roads (2015), which is half a work of Big History, and half focussed on Iran, ironically at the expense of the traditional 'Silk Road' regions of Central Asia. In all honesty, there is surprisingly little else. The 'Silk Road' is so taken for granted as an aspect of Eurasian history that there are actually quite few good treatments of it out there.

That said, if you're interested in the more general political history of the region, then James Millward's Eurasian Crossroads: A History of Xinjiang (2006) is still the definitive treatment of the history of western Central Asia, while Christopher Beckwith's Empires of the Silk Road is a good overview of the steppe empires and the polities of southern Central Asia.