You can do it in "cheat mode"...
FIX page, input the VOR you want to arc around, then put (for example) /10 to draw yourself a 10 mile circle on your MAP display. When you join the arc, put the A/P in CWS Roll mode and put your position trend vector "on top" of the circle you drew. The plane will do the rest. You can still monitor raw data on your "steam" RMI, there's nothing that says raw data is only available on the CRT.
If you want to do it in "real pilot mode"...
Use the RMI, and after joining the arc it all comes down to splitting hairs, taking into account the winds, make the appropriate correction (needle in front of/behind the wingtip) and then it just comes down to old fashioned flying "splitting hairs" to get the needle to stop moving from it's bearing off the wingtip.
At the speeds you should be flying at in the 737 it's much easier to keep a constant turn going rather than constantly going back and forth from -1 to +1 DME and making a heading change over and over, that technique is more for small aircraft which don't cover ground fast enough to make for easy arcing.