Well, first, buy Quick Balls and use them on the first go. It will be very helpful. :)
A few more PokeBall suggestions:
If you have a Pokemon over Level 80
If you have possibly beaten Red and have Pokemon in the eighties, keep that Pokemon at the front of your party when opposing Latios and throw a Level Ball. It will do 4x the chance (or 2x if your Pokemon is between Level 40 and Level 80). Level Balls can be accessed through Kurt, when you give him a Red Apricorn.
If it's night
You can try use a Dusk Ball. 3.5x the capture rate, it's worth a try. In Kanto they can be found in Lavender, Goldenrod and Fuchsia Marts.
So, those are three suggestions. You have used False Swipe, Refresh only heals a burn, a poisoning, or paralysis. Whose not on this list? Freeze and Sleep. Two statuses that don't hurt the foe, and it makes the foe idle as well. Of course, you will have to remember to use Mean Look first.
Oh, and to answer your question, yes, a Timer Ball can reach the standards of a Master Ball. And higher. (The Master Ball doesn't always capture - it's a 1 in 65,000 chance it will miss xD) However, this would take a while since you need to go through 2,540 turns. :( xD
I wouldn't suggest a Timer Ball though because in 30 turns you'll only get 4x the capture rate. So I wouldn't recommend it.
Hope I helped. :)