If you are seeing dropped on no resources on the access ports, it means packets are QOS tail dropped as they are queued on the access ports (beware of that stat, it only works for packets tail dropped on best effort queue; as of 5.8 you have QOS queue stats which work across all queues). With the 10G uplinks the traffic might present bursts which saturate the available QOS queues on the 1g access ports.
Apart from setting the qos queue-set to 1 (which effectively completely disables QOS on the switch), the only setting which can help is the QOS buffer sharing setting: Regular, Large, Maximum. This determines how much of the unused QOS queues from other ports/queues on the system a given port can use. You do not say what setting you have here. You need to try increasing this setting, and if to no avail, then reducing QOS queue-set is the only option.