As you haven't stripped, cleaned and rebuilt the engine the benefits of whichever clean oil you use will be reduced...
There may well be some horrible residues in the oil tank and crankcases from your previous problems so I would wash out the oil tank thoroughly, put in fresh oil (SAE40)and then change it at about 25 miles, or as soon as the engine reaches full working temperature.....
I'd then change it again at 200, 500 and 1000 miles and every 2000 thereafter....
Some would say that's excessive...but oil is cheaper than engine components and a lot more simple to 'fit'.. ....Ian
Don't use some super synthetic stuff to start with, or it will never 'run in' (most cars are shipped from the factory with a lower grade oil for bedding in)
Use cheap diesel 20/50 for the first 200 or so miles, then dump it (lawn mower..?)
Then change to a 30/40/50 grade straight oil and prepare to dump that after a year/500 miles.
In my experinace these old bikes usually 'corrode to death' rather than wear out - so if she is being stored for winter/long-time storage - warm her up, dump the oil and re-fill with new - BEFORE YOU PUT HER TO BED.
IAN - those oil change intervals are certainly not excesive, these old girls don't contain enough oil to cost too much for each filling.
At least its not like a girlfriends new Audi TT - 1 litre of oil a month (not excessive according to Audi?) of super expensive synthetic ~£30 a litre ?
Same with a neighbours VW town car, thing ....