I would call the ATC facility and get the popup clearance first. Then you can continue towards your destination rather than maneuvering to maintain VFR conditions. Also, if there is any adverse weather, pilot reports, flow programs, or NOTAMS, the controller will tell you right away. After I accept the popup IFR, I tell the pilot to go to FSS to file the remainder of their IFR clearance information and report back up on my frequency.
Do not file IFR in an aircraft that is not certified for it. By requesting an IFR clearance, you are stating that you are qualified to operate that aircraft in IMC and that the aircraft is equipped and certified as well. My radar does not show clouds, only precipitation, so I cannot vector you around clouds. If you are going to operate in the national airspace system as an IFR flight, both you and the aircraft must be able to do so.