You definitely have a chance, but it depends if the recruit is a priority for the sim AI. If the recruit isn't a priority then it will be fairly easy to take him away. For example in Phelan this past recruiting season I spent less than 6k to take away a recruit from a bad D1 simai, the distance was about the same as yours. Although I do have an A+ prestige, I'm not sure how much of a difference it will make, maybe 2k extra? But if he's a priority you might as well go after somebody else, but at the same time I can't imagine a player that B+ prestige can pull down being a priority for a D1 school even a simai.
Also simai's don't recruit like humans, according to the FAQ they recruit as if all recruits are 200 miles away. I'm also pretty sure their money isn't allocated the same way humans are.