I'm not an Infantryman and I understand that under the current rules I cannot earn an EIB. Can I still put it on my ERB?

You can't put it on because you aren't eligible to be awarded the EIB. You can put the certificate of training in your OMPF, but nothing on your ERB since it's not a school.

No, the only awards you can earn outside the Infantry EIB or CIB, are the CAB and the EMB/CMB. The USAIS Pamphlet 350-6 says; The target audience for this pamphlet is:
• Infantry Soldiers currently serving in Career Management Field 11.
• Special Forces Soldiers in occupational specialties 18A, 18B, 18C, 18E, 18F, and
18Z.
• Infantry Soldiers and Commissioned Infantry Officers in the U.S. Army, U.S. Army
Reserve (USAR), and Army National Guard (ARNG).
Note: This training publication can be used for other Military Occupational Specialties as a guide
for their warrior task training events; however training, testing, and awarding of the Expert
Infantryman Badge is specifically for Infantry and Special Forces personnel only. This standard
may not be waived.