I'm afraid that there no English translation. There is a Russian translation, see here, while here you can find the English translation of a short excerpt.
Alexei Volkov wrote the paper Large Numbers and Counting Rods devoted to the problem of the "finitess of numbers" raised in the Shushu Jiyi and contains longer excerpts of the first part, while you are interested in the second part, devoted to the "counting devices", that Volkov briefly discuss in its eighth paragraph.
Anyway:
Yet this theoretical construction (whether we understood it properly or not) has one essential defect : it could not insure that there exists in reality something corresponding to very large numbers ; a priori, one cannot be sure that in this world there is something corresponding to 104096 (the largest number in the superior system).
Xu Yue's descriptions are very brief, and the modern reconstructions are due to abundant commentaries of Zhen Luan who systematically interpreted each "method" as a real counting device (which probably does not correspond to the original meaning of these descriptions.) For the most part the described "devices" have been organized as linear sequences of decimal positions ; the techniques of representation of a digit in one position are diverse and some of them are based on the traditional connotations between colors, orientations, etc.
The first "device" in this list is that of the counting rods. They are not described as if they were well-known to the reader. [...]