I think you need to add your custom info in the bitcore-node.json which is created in your node directory
{
"network": "livenet", // your coins network name
"port": 3001, // your coins port
"services": [
"bitcoind", // required services
"web"
],
"servicesConfig": {
"bitcoind": {
"datadir": "/home/user/.bitcoin", //your coins directory
"exec": "/home/user/bitcoin/src/bitcoind" //your coins executable
}
}
}
So changing
"network": "livenet"
to whatever yours is called should do the job. Now you should be able to run your custom node with a different network.