A few points here:
1) You can obtain a PE license in any state that adheres to the NSPE guidelines without a degree if you have 20 years experience in the field. That invalidates your concern about ABET certification, since most engineering schools in the US have had the certification for the past 20 years.2) Passing the test is only one of the wickets you need to pass through. At least as important as the test, is your references who ascribe to know your work and attest that it is worthy of a professional.
3) Finding the PE references is a little harder as an EE, but is not impossible. There's a good chance, for example, that a mechanical engineer in your firm has his PE and can truthfully sign off as being familiar with your work. If you have outside consultants doing work (not contractors, consultants) for your company, one or more of them will likely have a P.E. As a last resort, there is nothing stopping you from joining the local chapter of NSPE and getting friendly with the members. Many would be very interested in hearing about your work. They really are a likeable lot. :-)4) Most states in the US DO REQUIRE someone on staff with a PE license if you are offering engineering services in any form to the public. If, as you signature suggests, you are a consultant offering design services, you DO NEED to have someone with a PE license on your staff in most of the 50 states. Some states prosecute that more aggressively than others. My state took all of about 6 months to find me after I hung my shingle out. In most cases, the state has the authority to issue a cease and desist order against you if you cannot prove you have a PE on staff.
5) Having a PE license doesn't give you carte blanche to go out and do stuff outside of your area of expertise. In fact, the code of ethics specifically states that you won't sign off on stuff that is not in your area of expertise.6) Some of the medical firms I've dealt with specifically do require a PE on a project involving medical equipment that could potentially endanger a patient. I'm not sure if it is a regulatory requirement or not, but it was a requirement from somewhere. If you are working for a medical firm, ask around. I'll bet there is a PE involved somewhere in the project. Every medical project I've been involved with has had a PE directly involved with the project.
7) PE licensing is intended to protect the public by certifying that you have demonstrated competency as an engineer in your field. You needn't have the PE to do engineering work, but if the engineering services are offered to the public, someone with a PE has to be accountable for the work.