The inch size tires have the correct aspect ratio and are still available, if you shop, or wait for them after ordering.
I like the Metzlers. Lasertec front 3.25x19. and ME77 rear 4.00x18. Lazertec are now also available with the 4.00x18. Should work well, but I haven't tried them yet.
120x90 are really too wide for the narrow 1.85 rims. I've had them more than once. They will seem fine when new, but you have to increase the air pressure to stiffen the sidewall, and that forces the crown peak of the tread too high. The wear will "square off" the rear tire and you'll soon be fighting the bars in turns to hold the line that once just tracked properly with simple lean over.
You do want a narrower tire on the front vs. rear. If for some reason you must put a metric tire on a rim intended for inch size tires, then 90/90 front and the 110/90 rear are probably the closest compromise.
But, I wouldn't compromise when the proper fitment still exists.
Cheers,