“Stock lists do change.”- xD You are talking to someone who has changed his list like.... 50 times over the last couple of months? I know how it feels man. Either BTT or YPB can be kept singly.
This is just a possibility so take my word with a grain of salt:
x2 Ocellaris Clownfish
x1 PJ Cardinal (I wonder how he’s doing on his own as I know they’re fairly social fish)
x1 Royal Gramma
Not sure how different Halichoeres Wrasses would get along so I’ll leave it to the wrasse experts in this forum. I’d appreciate it if you’d specify but maybe the multiple Halichoeres, all sand burying fish, may be a cause for concern.
Now, as for your BTT and YPBs.
You could totally do a pair or a trio of YPBs and a pair of BTTs. Just my opinion.
x2 Ocellaris Clowns
x1 Pajama Cardinal
x1 Royal Gramma
x3 YPBs
x2 BTTs
x7-8 Wrasses (1 Flasher, 1 Leopard, 1 Tamarin, 2 (?) Halichoeres, 2-3 Fairies)
Maybe.
The YPBs and BTTs will make an amazing display. YPBs before the Triggers, preferably.
Not sure how this works for the wrasses but maybe introducing the Fairies and Halichoeres (multiples) at the same time will increase their chances of getting along.
I’d make the BTTs your last fish.
Size wise from what I have seen a 180 does best with up to 5 larger fish (7” and larger) maybe 6 if we’re pushing it but personally I prefer to cap it at 5.
For a 7’ tank I’d put in 6 larger fish, or 8’ tank I’d feel comfortable putting in 8.
Yep the list is constantly changing but I've been pretty set on this list for a while but could cut multiple wrasses to have both YPB and BTT. I was trying to keep the bio load smaller that's why I don't have tangs and only 16/17 fish. I know wrasses have more bio load from overfeeding and triggers have a bigger bio load. But I didn't want to many 5+ inch fish aside from the last fish and maybe 1 or 2 of my wrasses. The tank would very likely be a 6' tank but I have been seeing a lot of 210/240 tanks around my area but not sure about that size yet and doubt I would get those.
Here are the list of wrasses 95% sure they are all compatible minus maybe the Halichoeres as you said, I may cut the radiant (
H. iridis ) for difficulty reasons but I'll give 1 a try likely.
Wrasses:
Blue Stripe Tamarin Wrasse (
A. femininus ) (may be difficult to find so backup below)
Red or Yellow Tail Tamarin Wrasse (
A. chrysocephalus or
A. meleagrides )
Orange-Backed Fairy Wrasse (
C. aurantidorsalis )
Exquisite Fairy Wrasse (
C. exquisitus )
Pink Margin Fairy Wrasse (
C. rubrimarginatus )
Lubbock's Fairy Wrasse (
C. lubbocki ) (I am fine with cutting from the list, just cheap)
Canary Wrasse or "Yellow Coris Wrasse

" (
H. chrysus )
Earmuff Wrasse (
H. melasmapomus ) (My favourite wrasse!!)
Radiant Wrasse (
H. iridis )
Black Leopard Wrasse (
M. negrosensis )
Carpenter's Flasher Wrasse (
P. carpenteri ) (I am fine with cutting from list)
Any wrasses that are difficult to initially get eating (
H. iridis,
A. femininus and
M. negrosensis may be given one chance to succeed so that could determine those wrasses get removed in the stocklist rather than other wrasses although these are some of the most beautiful of my selection.)
Also I would try to introduce the wrasses into different batches in like 3/4 different batches. First batch the faries, the second batch some of the difficult eaters, the third batch the flasher and other difficult eaters if not added before, and then the final batch would be the halichoeres.
Then My current inhabitants:
1 PJ (He is actually alone in a temporary 10g right now, I had to remove because my female clown was nipping at him and he had fin damage. He actually seems the happiest he's ever been and is getting nice and chubby, and is healing well)
2 Clowns (Specifcally Frosbite Clownfish and Nearly Naked Clownfish

)
1 Royal Gramma
Then the "wildcards":
Either
2/3 Yellow Pyramid Butterflyfish
or
1/2 Blue Throat Triggerfish
Could remove 1/2 wrasses if I want to have both or just see how my tank can handle it as they would be the last additions very likely.
Thanks for the suggestions!