There is no one "right" approach.  But I think yours is a good start. 

First, I should say that I started as a business analyst before colleges were offering focused courses.  So, I don't have a first hand knowledge of what they are teaching you.  It might be good for you and for the communicty to get a list of the topics you will be covering.  Then we can give you some pointers as to any gaps we think you might want to fill.

I do think that some solid coursework from a college will help you get into the first role.  Additionally, you should see if there is anyway in your current role to take on some small portion of a business analyst role.  Even if its in an assistance capacity or unoffical.  This will give you some hands on experience and give you so actual experience to speak about in the interviews.

 Hi,

To decide whether your way is right or wrong, you have to mentioned what is the content of the topic and based on that it can be decided.

The main thing to take up for this role is to understand the complete SDLC and the basics of the domain you are looking for like in your case its finance, also study is the good way but until you start implementing or using what you are studying it never helps.

As you have mentioned that you are test analyst, will suggest that do more of functional testing which will enhance your BA capabilities and then in your current company you can ask your manager that I would like to take up a new role and with work if you study it's going to help you a lot.