The 4060 Ti is definitely the only way to currently go for RAM.
There have been a few discussions on this topic (GeForce in general), and their cost…
One thing to note is that nvidia is apparently planning to release a pair of cards, including a 4070 Super. This isn’t going to help you on this budget, but it may have the effect of forcing down the price of the 4060Ti, which is absolutely awful value and not really a generational improvement. The operative word here is may. Only because there has been rumor/suggestion that the 4070 Super will include more RAM, so this may encourage people up the chain and away from 4060 Tis. The entire nvidia lineup at the moment is self-upselling, until you basically end up at the 4070 or the 4090, because the specifications of nearly all other cards compared to the price, is demonstrably bad.
I wouldn’t guide anyone down a particular path of waiting or buying now; but the market is shuffling a little. But waiting is always an option. Alternatively, you may get a good deal on a fake Black Friday “sale”, if that’s what we are still calling it… sale.
An interesting thing to note, is that as long as you have some form of decent motherboard and a good Power Supply Unit, then you can usually add a second card from the same family at a later date, if you are interested in non-animation multi-GPU rendering.
NOTE: In case you stumble across them, as I did at a similar budget, I have been running an Intel Arc A770 16 GB since March/April, and it has slowly gotten more and more stable, and I have had no issues in Rhino for about 2 months or so. I have no idea why it is any better, as I don’t think anyone at McNeel changed it, nor did Intel to my knowledge. But, I would recommend sticking with nvidia, because you CANNOT render with an Intel Arc GPU in Rhino’s implementation of Cycles, or much other software at the moment.