Don't know if this will help but I downloaded the latest aacraid driver (VMware ESXi 5.5 Driver for PMC-Sierra scsi-aacraid SAS RAID Controller) from the vmware download area and loading that along side the LSI driver worked for me. This let my ESXi 5.5 detect the card - don't know if it was plasebo effect though.
Related hardware/software:
- LSI 9650SE-12ML
- ESXi 5.5
Looks like you already have the card detected so give the Adaptive driver a whirl.
N.B: I think the installation is the same for this, just extract from the ZIP the offline_bundle zip or I think the vib file will work. You can also load the driver using the ESXi customizer, for my install I installed the Realtek drivers, aacraid driver, and the lsi driver (in that order - reversed).