irule with different SSL profiles depending on the pool.

How about using SERVER_CONNECTED:

When HTTP REQUEST { 
  switch -glob [HTTP::uri] {  
   "/external/lifts/docs" -  
   "/internal/sites" {    
     pool CompanyA  
  }
   "/external/boats/docs" -  
   "/internal/states" { 
      pool CompanyB  
  }
 }
}

when SERVER_CONNECTED { 
  switch [LB::server pool] { 
    CompanyA { 
    SSL::profile CompanyA 
  } 
    CompanyB {
        SSL::profile CompanyB 
  } 
 }  
}

See if that helps, not in front of my lab box to fully test syntax etc...

N