You are going to need 2 more 10GbE ports per host in that case. Only way to retain multipath, load balancing and fault tolerance.
There is a way to get it to work, but you'll lose fault tolerance and load balancing. Just make a vswitch with both 10GbE connected as Trunk ports. Make vmkernel ports as needed on that switch with different IPs tagged with different VLANs. Then you don't configure anything in the ISCSI adapter settings except for targets. VMware automatically finds the ISCSI target based on connected VMkernels. Since you have 2 links to the vswitch you'll be able to withstand a port or switch loss, but you won't fail over if a SAN controller goes down, unless it has a virtual IP you can connect to.
I did it this way with Lefthands back in the 3.5/4.0 days before multipath was really an option. It works, but it's no longer recommended.