I think you are better off letting them select a product up front. Otherwise you run this risk of "steering" them into products which may not be to their benefit or what they wanted.
You could go the route you are thinking, just make it clear that it is not an application and that it is an inquiry. I'd leave off any spaces for property address... They can indicate what they are looking to do with the money... "Is this a purchase?" and how far they are in the process. "Do you have a property in mind?"
If you do go that route, also check to make sure it doesn't meet the definition of a "pre-approval" program under HMDA. It shouldn't but always check yourself before you wreck yourself.
Just my thoughts!
In life, there is a lot less that could get better and a lot more that could get worse.
MBA Fin/MBS HR
My views only!