I can point you to a feature in Mach that you will then need to study up on and experiment with.
The CV feature does have some controls that you have access to for tailoring the behavior for specific needs/jobs. I am no expert in these settings and while I have been known to occasionally cut the cheese, I don't cut wood so I'll have no specific advice for you.
You can define within CV, as I recall, at what angle the CV will disengage. With this control, theoretically, you can have CV active to avoid the shaky movements that Hood described while still having the ability to, within reason, keep your corners sharp.
I cut a lot of aluminum with small (sub 3/8") end mills at 7,000 RPM so I have similar concerns to people cutting wood at say 20,000 or more, and thus far I have only encountered on precision shaped pocket that required expressly invoking exact stop mode.
CV does not round off corners randomly. Is is proportional to the feedrate. Sort of like driving your car; the faster you are travelling, the sooner you need to start turning and the arc you can sustain is going to be bigger the faster you are going. So IF you are not able to obtain a completely satisfactory result with the CV controls, you can still 'tune' a particular cut by slowing down the feed rate with a proportional reduction in spindle speed to prevent burning at problem spots in the process.
The above is not an ideal solution, but then again there is no logic in dissecting too closely a problem that may not even exist, so as Hood suggested, there is a time to talk and a time to just get in there and see what she'll do for you. Methinks you are at the latter.