You're going to have a very hard time gaming on a 1440p display with a GTX 1060 unless 20-30fps is good enough for you. Personally, I'd recommend, if it's going to be a while before you get a GTX 1080, which might be pretty difficult unless you're going to take your chances on a used one because there really aren't any of those available new anymore at anything like a realistic price, that you focus on a monitor that will offer a decent experience with the graphics card you DO have. Things happen, like life, and you never know if that bigger card is going to end up happening anytime soon or at all, so then you end up stuck with a monitor that was intended for a graphics card that you never ended up being able to get, and gameplay ends up sucking.
I wouldn't recommend anything higher than 1080p for your current graphics card.
Something like this would be a pretty good fit. And would still work fine when you get a bigger card. Hell, I'm gaming on 1080p with my RTX 2060 Super, with a 27" display, and I think it's just fine. I'm getting a better monitor because I want the G-sync capabilities, but the one I have is ok as is.
This for you, might be a good fit. Reviews are slim for that model, but there are a few reviews out there for the MAG271CR, that has a few more bells and whistles, but uses the same panel.
PCPartPicker Part List
Monitor: MSI Optix MAG271C 27.0" 1920x1080 144 Hz Monitor ($399.00 @ Mwave Australia)
Total: $399.00
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-08-24 16:56 AEST+1000
Otherwise, most of the monitors I see available in your region have some pretty glaring flaws unless you're willing to drop down to a 24" model or take a real performance hit and move up to 1440p, which will also likely mean spending a bit more than the 500 dollars you wanted to stick to.