The odds of a randomly chosen starship sized point in a galaxy being inside a star are very very low. It would certainly be less risky than the plan they are actually going with!
I wouldn't put it past control to develop its own spore drive though, the research must be somewhere.
That is a fair point. However, I still think jumping to an uncharted galaxy millions of light years would still require some sort of accuracy or awareness of where you're jumping to. But really the whole things boils down to a 'The eagles in the lord of the rings' situation. Yeah they could escape using the spore drive probably but, well there wouldn't be much of a story.
Also you're right about Control and the spore drive tech. No doubt, Section 31 would have been all over it and getting it threat assessed up the wazoo. Tilly was working on a 'dark matter interface' to navigate and chances are Control could be working on it's own version of that. Heck that might be how it manages to destroy all life in the galaxy, by giving spore drives to all of it's squid ships.