the reason you didn't get a fish in cycle is because it's a big tank , feeding 2 fish don't take much and I'm assuming you fed flakes or pellets that small amount of food you fed wasn't enough to light the fire , now if you decided to do a fish in I don't think your coral beauty will make it as they as they are very sensitive to big swings ,
the mccoskers wrasse that's a fancy wrasse with the big dorsal fins right ,
I know some wrasses are hardy and tough they would probably make it through a cycle ,
but some wrasses aren't as hardy thats were I'm not sure , but as I believe the mccoskers wrasse would fit into this category,
I think it would be a risk I wouldn't want to take, now if it were a coris wrasse for example those guys would survive about everything,
heres a suggestion if you have a ten gallon tank pick up maybe 2 or 3 pieces of live rock thats already cured around 2 or 3 lbs each , put them in the small tank and that tank would be ready for your 2 fish just add a power head as the beneficial bacteria is already established on rock just keep it wet till you get it home,
than after the 75 cycles you can add those 3 rocks to your tank along with the fish,
another FYI I never doubted your experience we are all human and sometimes we just overlook things as we are stoked to get things up and running,
I learned over the years rushing never pays, things that can take a hour I take 3 , another reason I do that is I'm getting old and I get brain farts too.
so don't sweat it things will get better, I'm sure you will have a nice tank sometime in the near future and I look forward to seeing it,