Hello Dwane,
post a sh ip route of involved subnets
sh ip eigrp topology can also be of help
however, if you want to prefer the c7206 it may be wise on C3750 to put an higher delay value
C3750
interface Vlan244
delay 20000
for example may help
you need to compare with delay as appears on 7206 interface
that is gi0/3.144.
you should manipulate delay on link to remote site that is on path not on interface to other router.
so if this vlan144 is a backbone vlan your changes on C3750 may be not effective because C3750 reports cumulative delay and lowest BW on path to destination IP subnet in vlan144 without taking in account settings on vlan144 itself.
router receiving EIGRP updates will use its own delay and BW to calculater metric from its own point of view
Hope to help
Giuseppe