IMO, it's very difficult to get a "lifer" mandolin (especially with an installed pickup) for $600. The pickup itself usually is at least $100 with the installation (sometimes more).
If I was in your shoes, I'd buy another "right now" mandolin that was the best I could afford. A few from the classifieds
https://www.mandolincafe.com/ads/175659#175659
https://www.mandolincafe.com/ads/175634#175634
https://www.mandolincafe.com/ads/175608#175608
https://www.mandolincafe.com/ads/175605#175605
They won't last forever, but they will do the job. Ideally you should practice your setup techniques on this too. Most often the problem with lower cost instruments isn't bad production, but bad / inconsistent setups and more frequent maintenance needs. If you can do it yourself, it'll be cheaper for one - but you'll be a better mandolinist as you'll know your instrument better etc.
Immediately after I would start saving for the lifer (or at least "long term") mandolin. When I was saving for my Gibson F9 I put away about $200 / mo in a "mandolin fund" and tried not to touch it (didn't always succeed). Took about 1.5 years but I eventually saved up enough to buy the F9 I wanted with a pickup installed and the fingerboard radius done (thanks Mandolin Store!).
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