Check out the cateye strada wireless. It has everything you want except the backlight. It might be hard to find a backlit computer in the price range your looking at.
I just got this Cateye Micro Wireless Bicycle Computer, really great product, directions for operation a little confusing but once I get the hang of it it's great. I like the wireless feature, much better than wires lining my bike frame. I recommend mounting on the rear wheel fork and rear wheel. This will allow easy transport and taking off and putting on the front wheel.