First of all sniff packets that you are sending - what is the size of those.
Usually EOIP is created over standard Ethernet with MTU 1500, so EOIP will fragment packets to add addition Ethernet header.
I have 3-6Mbps TV stream and it is not a problem in my case.
You can try to reduce the bridge MTU to 1400 and hope that devices that send traffic will nogotiate lower MTu with path MTU discovery .
Also are your EOIP going over wireless?
With great knowledge comes great responsibility, because of ability to recognize id... incompetent people much faster.