My wife and I got married without buying a diamond ring. I simply refused to spend money in things that are overvalued by the market because some marketing scheme was so strong that it made facts look silly. I told her that I refuse to spend money on things that cause other people pain. Especially when there is no guarantee that the diamond we buy are not blood diamond. Instead we invested our money in buying things…
Actually, the best way to demonstrate it is via these rules:
(1) you have to get something that is very hard to get (more money than you normally have),
(2) something that has no use for you (you want to convince her, it wouldn't be convincing if you benefitted from spending)
(3) and preferrably it is not monetizable for recipient (in general, woman is much less motivated to tricking you only because of gift)
So, if she's already convinced to merry you, spending fortune for diamond ring is futile. And if you are in hurry, you can really just burn some money to ash in front of her, it would do the same :) Nonetheless, not as fancy as diamond ring for her :D