I have the following network.

Any ideas on how to manage the LHGs?
Not without adding hardware but maybe someone else has ideas. If you ran the LACP into something like MT450G’s on each end and then ran management cables back also to the Cisco switches I think you could make something work but that adds hardware on each end not in your diagram.
You should check out this guide:
https://wiki.mikrotik.com/wiki/Manual:Layer2_misconfiguration#Bonding_between_Wireless_links
Also read a note about LACP and why it is not the best choice in this type of setup.
If you are not able to add a logical interface into a bond on your Cisco, then there will be no other way to make this work without adding extra hardware. You could try to find a MAC address and an IP address that would generate a different hash for each device, but this is still unreliable.