I don't know LSV, but the type of environment you are describing is nothing new to us. We have a number of customers with similar setups and also a number of them have DAIP gateways.
First question will be, is it a hub spoke system you want ( all remote sites can only talk to the central site or will all sites be connecting to all other sites?
To center only: Star topology
To all others: Meshed topology
The way DAIP works is that the DAIP gateway will connect to the management using the Phone home system. Once the gateway has been connected to the management server (SIC is established) it will on a regular base connect back to management and report the IP it is working from.
In the VPN community make sure to set permanent tunnels to on.
For a Star topology there is no problem as all remote gateway will initiate the VPN to the central sites and the VPN supports traffic both ways.
When you need the Meshed topology it will be hard for a DAIP site to reach another DAIP site. However the central management server does know about it and could potentially inform the other gateways. This will only work when you have a DSL version of the Gateway or when yo apply this:
One piece of advice: on these ADSL router always fix the external IP of the gateway and set the IP of the FW as the DMZ host in that router, this way you can still connect to SSH or the WebUI when needed.
Do not forget to set admin access to allow the IP address/range your coming from and allow access through WAN.
Regards, Maarten