Unfortunately, no I don't think it has any circuitry to lock it's sub-carrier oscillator to the horizontal rate. It does have a PLL, but is only setup to generate 4xFsc (14.31818 MHz) from the Fsc input to drive it's quadrature modulator. It does have an oscillator as part of it's circuitry so that would save you the external oscillator part (but you still need a crystal), but in that mode the sub-carrier oscillator is free running and not phase locked to the supplied video.
In fact the data sheet discusses what they refer to as "asynchronous operation" and some of the possible side-effects of the sub-carrier not being synchronized to the video.
And before you went very far down this road I would carefully check out the video coming from your source, if it doesn't match the NTSC timing then you will not be able to lock the sub-carrier oscillator to it even if you do find or build circuits to do so.
How accurate is the horizontal timebase in your Rigol 'scope? if it is accurate enough you might be able to just measure Fh directly (or you might quickly discover that it is way off...) If you have a source of NTSC video (old vcr or DVD player perhaps) then you could feed that signal into your 'scope, trigger off it, and then connect the composite sync from your RGB source to the other channel and observe how quickly one drifts with respect to the other -- which will also give you some idea if there's a chance it can work.