ADFS deployment through GTM

We are deploying ADFS in our environment for that we have created 2 LTM's one for internet facing users and one for internal users where internal user redirected to internal LTM and external request will go to external LTM.

 

architecture:

 

Inside VIP external VIP (Netted with public IP) | | 10.x.x.x 172.x.x.x | | 10.x.x.x(ADFS Server) 172.x.x.x(ADFS server)

 

same thing we have configured at our DR side for GTM configuration.

 

We have created a record for our url and called inside VIP and DMZ IP netted with public at WIDE IP level.

 

Now we want that intranet traffic should go to inside and internet traffic should go to external LTM how should we proceed in this case.