As an EMT you can take a Wilderness Module (40) hours with SOLO for your WEMT. I did mine at SOLO Southeast in western NC at NOC - Nantahala Outdoor Center.
http://www.noc.com/noccom/outdoor-school/solo-wilderness-medicine/
NOLS-WMI also has a Wilderness Upgrade for Medical Professionals
http://www.nols.edu/wmi/courses/wildupgrademedpros.shtml
I added the course information below.
Wilderness Module for Medical Professionals
A 5-Day Bridge Course From the Street to the Outdoors
Acquire the skills needed to manage a wilderness emergency. The SOLO Wilderness Module is a 5-day program that upgrades current street first responders to the WFR level. EMTs, doctors, nurses, PAs and paramedics will receive Wilderness EMT (WEMT) certification upon completion. This is a fast paced and highly recommended course for medical professionals that already have an advanced knowledge of patient care and seek a better understanding of wilderness protocols and procedures. The focus is on learning the skills to improvise medical treatments when separated from definitive care by distance, time or circumstance.
The Module covers subjects such as:
Principles of Long-Term Patient Care,
Wilderness Patient Assessment System
Principles of Long-Term Soft Tissue Injuries
Principles of Long-Term Musculoskeletal Injuries
Environmental Emergencies (Hypothermia, Frostbite, Non-Freezing Cold-Related Injuries)
Heat Stroke
Heat Exhaustion
Dehydration
North American Bites and Stings
Severe Weather,
Lightning & Avalanche
Barotrauma and Marine Bites & Stings
Case Histories and Mock Rescues
This course counts for 40 hours of continuing education. Cost $349.00
The closest NOLS class for me would have been TN, cost $600.00
The main SOLO campus is in Conway, NH. SOLO Southeast is near Bryson City, NC and SOLO Colorado is at Apex Mountain School in Avon, CO. I would love to take a NOLS-WMI course if I can find one closer to Florida.
I believe the Wilderness component adds to your EMT skills, I know it did for me. I also think that having your WEMT is an advantage when looking for a job, especially in the more rural areas of the country. Good luck!