More training is a safe direction
I understand your position since I too help coordinate the activities on our department's dive team. I think that offering varied training helps to add some "excitement" to the team and keeps people interested in being a team member.
Certainly, history has shown that strong "basic scuba skills" go a long way in preventing dive related accidents and injuries. Frequent opportunities to dive are key to preventing injuries and accidents. The challenge is conducting training opportunities on a frequent basis without having them become boring. Underwater obstacle courses in a swimming pool can offer challenges while assisting team members with problem solving skills and gaining experience with dive team equipment.
Before you move on to "ice diving," your team members have to be competent and comfortable underwater, and this only comes from frequent exposure to diving.
Surface Ice Rescue and Swiftwater Rescue will certainly help members maintain physical fitness and establish higher comfort levels amongst your team members. There are specialty programs which can assist in maintaining team interest and improving competency. Med Dive, Underwater Investigation, Dry Suit, Diving in Polluted Environments, Lift Bag & Light Salvage are some that come to mind.
You might check with Dive Rescue International for a list of other programs.
In your original post, you also mentioned that you have a dive trainer on your team. I am curious to know what certifying scuba agency he is affiliated with. Please feel free to reply "off list." Of the past eight public safety diving fatalities, six of them (75%) were in the "training" mode. Evidence points out that a "trainer" might have "experience" but not necessarily "good experience" in teaching public safety divers. I will have an opportunity to discuss this issue with OSHA next week and was looking for additional insight.
Marine FTO, Indian River County (FL) Fire Rescue
Executive Director, International Association of Dive Rescue Specialists