Welcome to the site !!
You can run any cheap oil as long as it meets the JASO and MA requirements (Wet Clutch compatible if you are also changing the tranny oil) , if the oil meets those specs you can use it .... the viscosity does not matter at this point , so you can run 0-40- ...5-30...10-40 , etc , whatever is cheapest and meets the requirements
I will give you a tip for flushing ......... when you drain the oil , and remove the filter cover on the ignition cover , you will notice 3 holes the cover aligns with , take a air hose with a tube nozzle and using maybe 30-50 lbs of air , blow out each hole till you hear just air going thru the tube into the crankcase , this will push the milky oil down to the pump pickup area that is in the 3 channels , flush out the filter (unless you have several of them to replace each time) and fill the engine with oil ,(check to make sure the oil in the tranny side is clean , not milky as well) run the bike for a few minutes (no more than a few minutes otherwise the bike will overheat) and drain again , tilting the bike from left to right as you get to the end of the flow , and you will find more oil comes out ....... Then , blow out the tubes in the filter area again , repeat these steps till the oil comes out looking like oil and not milk ,you will not be able to do much about the top end channels , so running the engine is the only way to flush the entire system ,,Then ride the bike for a few to let the engine heat cycle and hopefully push thru any milky oil left in the system , then pull it in and drain the oil and blow out the tubes again , and see if the oil is still clear ... if so , replace the filter and fill with the "good" oil , and you should be good to go .... , if not , keep repeating the cycle till the oil is clear .....then replace filter and fill with good oil