It's all about the weather window. I've crossed from Miami to Bimini and back (on a commercial powerboat) several times, and all the trips were very pleasant. We fortunately had favorable winds from the south. If you try to cross when the wind is from the north, against the current of the Gulf Stream, conditions quickly get rough, even dangerous.
I'd love to do the trip some day in my C310. By the way, check ahead to find out how the channel into North Bimini is marked, if it is at all. Sometimes there is a red bouy at the entrance, sometimes you have to veer 100' around the bouy. Once there was a stick on the beach of South Bimini. You steered towards it, then turned left and followed the beach to the channel. Good luck, and have fun.