Should be fine. I use a block plane with a toothed blade (buy a spare and grind a few notches into it with a dremel cutoff wheel... careful to keep it cool so you don't mess up the temper), alternating with a smoothing plane with normal blade to shave off the ridges left behind by the teeth.
Toothed blade helps reduce tearing, especially since I'm not an expert sharpener and don't enjoy messing up my settings to pull the blade out and resharpen very often either.
And like Mike, pretty much do a repeatable pattern, but check every few passes and shave down any high spots, and skip any low spots until you get it evened back out. Switch to scraper/sandpaper when the tearout goes as deep as you want the final result to be
The repeating pattern of planing is not essential though, it's just to speed things along since it keeps things more even so less checking needed. I also use a home made caliper using a dial indicator.The last plate I planed was a bubinga back... extremely stubborn, and it wasn't even curly, just interlocked like mahogany. Think I'm going to avoid that stuff from now on unless I ever decide to switch thicknessing methods.
It took me a long while just to get the blade to bite at all rather than sliding helplessly over the surface... probably again due to lack of sharpness. Several sharpenings later, cross grain turned out to be the direction to get it started. I just went at it with the toothed blade, without much of a pattern since this nightmare set was rather thick (about .200) so I just needed to get it down down down for a few hours before worrying about evenness. Tons of tearing and still often difficult even to get a bite, so it was still pretty thick when I was not comfortable taking it any further by plane.
My lucky stars shined that night, and I finally got a good and quickly renewable scraper edge using the non-burnished, filed edge method. So now that I could scrape faster than a small pile of dust per stroke, I got it down the rest of the way within a few more hours and the torment was over.
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