I don't have anything stable enough for high voltages just yet, if not counting 2400 SMU for that.
The 2400 is a good idea. It is not necessarily accurate enough, but it may be stable enough.
Let both 2400 and 2002 warm up for 3 hours. Local sense on the 2400 is probably good enough for this test. Set the 2002 for 20VDC, 10NPLC, 10 Digital Filter, Window:NONE, Filter Type:REPEAT. Resolution 8.5 digits.
Set the 2400 to output 10V. Turn output on. On the 2002 turn the filter off. Filter on. Record the reading on the 2002 after a minute or two for settling.
Do not change anything on the 2400.
Change range on the 2002 to 200V DC. Filter off. Filter on. (saves time) Record the reading on the 2002 after a minute or two for settling.
Change range on the 2002 to 20V DC.
Set the 2400 to output 20V. Filter off. Filter on. Record the reading on the 2002 after a minute or two for settling.
Do not change anything on the 2400.
Change range on the 2002 to 200V DC. Filter off. Filter on. Record the reading on the 2002 after a minute or two for settling.
Set the 2400 to output 100V. Filter off. Filter on. Record the reading on the 2002 after a minute or two for settling.
Set the 2400 to output 200V. Filter off. Filter on. Record the reading on the 2002 after a minute or two for settling.
The last two steps may not indicate anything but they should be included for completeness.
Post a table of results and we can see if there are any obvious differences between the 20V and 200V DC measure ranges on the 2002. The 2002 I used had a noticeable repeatable offset between the ranges.