Well, you could use an Easy Walk Harness to get in, then just switch the leash to the dog's collar for the session. If any aversives, such as leash corrections are suggested, run the other way. Training the leash reactive dog involves gradual desensitization, and always working at a distance from the other dogs that your dog can tolerate without reacting. So, your dog gets rewarded copiously (preferably with food that is extremely high value to the dog) for not reacting when the other dog is 200 yards away, then 190 yards, then 170 yards, etc. until you can have your dog within a couple of feet and he doesn't react. Takes time and patience, but well worth it. The 200 yards is not an actual figure - it just represents the distance you must be away from the other dog so that your dog doesn't react, however far that distance is.
Good books on reactive dogs: Emma Parsons' "Click to Calm", Ali Brown's "Scaredy Dog", and Patricia McConnell's "Feisty Fido".
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"If you talk to the animals they will talk with you and you will know each other. If you do not talk to them you will not know them and what you do not know, you will fear. What one fears, one destroys." - Chief Dan George
"The fidelity of a dog is a precious gift demanding no less binding moral responsibilities than the friendship of a human being. The bond with a true dog is as lasting as the ties of this earth can ever be." ~ Konrad Lorenz