Fresh 70 and Shadowbringers iLvL

[Chrallmal]

Don't bother looking into Eureka. Even if you had the raw time to invest in its already impressive time sync, and you had someone to guide you every step of the way, the logograms alone would do you in. Last I checked, you'll likely dump 2-3mil gil buying what you need off of the market board. If you were to farm them yourself, you're talking about already adding a potentially excessive amount of time to the experience.

Eureka is for glamour. Not a smart option given your current restrictions.

You could try and run Heaven on High for the weapon. At 70, you'll get tomes of Mendacity and Genesis to work towards your weekly cap and buy ilvl 390 stuffs - and the empyrean weapon you can get from there is ilvl365. If you are lucky, you'll get drops that sell for decent amounts. However, that can get really monotonous in a hurry.

As for what to buy first with Genesis - I usually go for jewelry first, because they are the cheapest at 375 a pop.

[Hasrat]

Haha, I was a bit blind on how to use MB. But unfortunately, all i380 crafted items are pretty expensive for me (400-500k) and the book (weapon) for summoner is around 550k...

Yet one more extra consideration: With the implementation of the World Visit system, you may try hopping to other worlds in your data center to see if prices may be cheaper.

As for the HoH suggestion, suspecting that if OP hasn't run any raids to even unlock that roulette, probably also hasn't run any PotD to unlock HoH.

[Crowzer]

I have unlocked PotD at lvl 17 from quest (in fact, I try to unlock everything but it's a bit laborious) and I cannot do HoH because I must have a certain lvl on PotD before.
Same for Crystal Tower, I actually have access to but still haven't been there.

For Eureka I'm not doing it, but might try juste once, to see what it looks like.

...

That's a good idea!
I see there are a few websites that show the currents price on each server if I find a good price I'll hop.