separate self IP on GTM for Communication with Peer devices

Appears you only have bigip devices in play, so you do not need Prober pools. The iquery between the GTM and LTM will do all you need. The LTM will provide VIP status via iQuery.

There are some caveats to this, such as VIPs that do not change state. Those would need monitors applied to the pools on the GTM, and those monitors would engage a prober for execution. But, if your VIPs go RED/GREEN you should be fine.

Hope it helps!