Bloomfield sits in seventh place in the team standings with 32 points, while Shiprock is in eighth with just 12.
St. Michael's leads the 3A tournament with 61.5 points, barely ahead of second place Cobre (59) and third place Silver (58).
Seeding selections greatly hurt the Bloomfield Bobcats, with several of the team's top boys not even being seeded and having to face tough matches right away.
Advancing in the semifinals for Bloomfield is Troy Rightmire (132), Jacob Spencer (138), Paul Jaramillo (195) and Orin Kennedy (220).
Rightmire is searching for his first state title after years of competing and placing in the 4A bracket.
"(Rightmire) is wrestling real tough. He is going to face a tough kid from Cobre in the semis, but he can do it," said Bloomfield head coach Greg Shoemaker. "He has been there before. I think that pushes him, but in a bit different way. It motivates him, but at the same time sometimes he gets worried because he has been close before and come up short. If he thinks on one side of the coin, he can go out and wrestle great. If he thinks on the other, it can come up and bite him. This year, he just has to go out and finish it off."
Spencer has emerged as one of Bloomfield's top wrestlers after battling some injuries and spending time on junior varsity this year.
"Most people don't know Spencer does rodeo and is a real good bull rider. He competes in that, and he had a real rough fall doing it earlier," Shoemaker said. "He has recovered, and we have massaged him into competition. He is a very independent kid that shows a lot of character when he is on the mat. He will throw everything he has at you and can find even a bit more to throw. He has that competitive attitude."
Shoemaker is confident Jaramillo can reach the finals after the way he has wrestled all year, and he hopes Kennedy can overcome No. 1-seeded Joseph Crespin of Robertson in the semifinals to reach the championship match for a second consecutive year after he reached the 4A final a year ago.
"Orin has worked so hard. It sure would be nice for him to get that," Shoemaker said. "My four guys in the semis are doing well, and I like JD Robinson and Jerome Abeyta's chances of placing third on the back. I think we can recover from some bad seeding and still finish as high as fourth, which would be real nice for us."
Shiprock's Danzell Clark (182) advanced to the semifinals with a first-round pin over Elizabeth McLeod of West Las Vegas, and 195-pound Chieftain Rayshawn Ben is also still competing in the semifinals after defeating West Las Vegas' Zachary Lujan in the quarterfinals.