Hello,
There are a few ways to get to an acquisition rate around 10kHz, by setting your NPLC to a set number such as somewhere around .006 to be around that ballpark. However, there is also a few other factors that you will need to consider such as firmware overhead, auto range, any filters you may be using, switching relay (open and closing of the relays IF using a switching card), and settling time for example- all of which will alter your sample rate. It may take some trial and error to find the sweet spot for stable 10kHz acquisitions. This is the most brute force method to fit your needs, aside from what you had mentioned previously about setting a fixed readings per second rate. But, again, this may change some settings. Hopefully this provides some insight and a good starting point!
For other measurements, for future notice, you can utilize the built-in digitizer. However, this does not work with resistance measurements of any kind. Only current and voltage (AC and DC signals).