You can try out the "dhcping" utility. On CentOS/RHEL, you'll have the option to "yum install it" after you'll gain connectivity to the EPEL repository. Check out the command options. They seem really relevant for your needs.
dhcping(8) General Commands Manual dhcping(8)
NAME
dhcping - send a DHCP request to DHCP server to see if it’s up and running
SYNOPSIS
dhcping [-v] [-q] [-i] [-r] -t maxwait -c client-IP-address -s server-IP-address -h client-hardware-address [-g gateway-
IP-address]
DESCRIPTION
This command allows the system administrator to check if a remote DHCP server is still functioning.
Options are:
-v Verbose, print some information.
-i Use DHCPINFORM packets.
-r Use DHCPREQUEST packets (default behaviour).
-q Quiet, print nothing on the screen.
-t maxwait
Maximum time to wait for an answer from the server in seconds. Default is 3 seconds.
-c client-IP-address
Request this IP address. Note that this is also the IP address the answer will be sent to.
-s server-IP-address
Send the DHCP packet to this IP address.
-h client-hardware-address
Use this hardware-address in the DHCP request. It can be up to sixteen octets seperated by colons (i.e. 01:02:03:04)
-g gateway-IP-address
Use this IP address for the gateway IP address in the DHCP packet. This option is currently broken
All the best!
+Daniel.