How to carve 90 degree inside cove profile

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Whitnall Gardens Studio

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I need to carve two coves (about 3/4' radius) that meet at 90 degrees, thus creating a 45 degree line. I can only think of two ways to do it: (1) use a pair of left and right 45 degree skew gouges (which I can't find in anything other than a #2 profile), or (2) use a straight gouge and carefully rotate it out of the cut as it approaches the corner (which isn't easy to do perfectly).

Am I missing something? For others who have built a Goddard six shell block front with concave details, how did you do it?
 
I've never built a Goddard six shell block, but I did see this challenge at the top of the 'candles' on the lower portion of this carved panel:

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I used a v-tool down the junction, then a #8 across grain coming out of it, then the #8 with the grain once I had enough room to carve along the cove. It's not perfect, but that's carving I guess. Came out ok I think...
 
Thanks for your response. Since posting this, I have also found that having a "nosed" end to the carving tool seems to work better for me than a straight across end when it comes to rolling it out of the cut. With a straight across end, it's not easy to use just the very corner to roll out of the cut.
 
Even better! A bullnose on your gouge also helps carve the exits on flutes for chair stiles, etc., per Ray Journigan's instruction.
 
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