First Weyland Deck

Hadrian's are quite expensive and become prohibitive for dropping a SEA + scorch combo at any time. I'd say put in one more Archer and drop a Hadrian's. Archer usually can blow their rig away and give you a nice scoring window for a few turns even if your ice is not huge. Hadrian's can also be good but it is very expensive.

You should also consider putting in PAD campaigns for a constant drip and for having the runner trash them which will also keep them poor-er.

Just consider options that will leave you at the advantage in credits so you can trace and kill them at any moment. NAPDs are very good for that.

This is great advice! I am going to try the deck out now with your modifications. I am slowly learning (and loving) how much of this game is pure economy management. Thank you!

Hey hey! Welcome to the world of deck building! Glad you could join us :)

Excellent advice given so far, as @tendermovement said, drop the Hardians and slot another Archer, a well timed Archer rez can make all the difference, and if you're struggling for points then you can always rez one by scoring a Priority Requisition, ignoring the cost of sacrificing an agenda.

Definitely slot 3 Pad Campaigns instead of Melange. Melange is far too fragile, so you want the Runner to be forced to let you have drip economy, or lower their economic advantage just to deny you yours.

Economic races in Weyland say a lot about the deck. If a Weyland corp is obsessed with generating money, they're going for the kill! Weyland are also regarded as one of the safest corps to face check; in other words, a Runner has little fear of consequence running against Weyland because they don't tend to run ambushes and have ICE that mostly just ends the run, (Archer is an exception, but that requires an agenda to be scored). So let's look at how we can add a few extra teeth to your creation!

First, to give us some extra deck space, remove Aggressive Negotiation. It's a nice ability, but if you have a click to spare in order to use this card, that means you have a click spare to over-advance your Project Atlas and give it a counter, which acts as an Aggressive Negotiation you can use any time!

Lose Matrix Analyzer. It's not going to do anything for you in the long run. Advancing a card is a nice ability, but if the Runner can still get through and steal the agenda, what good is it? A rudimentary strength boost for Ice Wall? If you want to use your influence better: Ichi 1.0. That card is dangerous to face-check without clicks or a decent breaker.

I'd remove both of your Hunters and just added more Caduceus as they will have more impact.

Since your ID rests on Transaction Operations you cannot forget about including Beanstalk Royalties, which is as effective as a Hedge Fund for any other corp, but it fires off of 0 credits, so you can quickly bounce back from a cheeky Account Siphon. I'd suggest removing the Research Station to allow 3 Beanstalks.

This would move your Economy package to:
3x Beanstalk Royalties
3x Hedge Funds
3x PAD Campaigns
1x Successful Demonstration
And any fires you have off of Caduceus.

Good luck and let me know if you have any questions.

The only other small suggestion I'd have. Consider swapping your Data Ravens for Snares!. Data Ravens will typically force the Runner to End the Run until they have means to deal with it. Sometimes the weakest server for Weyland is R&D, but with 2 Snares floating about you might catch a Runner off guard, and if they spot 1 in your deck they may re-evaluate their aggressiveness, letting you sneak some agendas out unprotected if you're lucky!

I am making all of these changes! Stupidly, I think I kept hedge funds over beanstalk cos it said 9 and my brain said "it is more". I love your suggestions on Ice too. This feels like such a solid, fundamental deck now. Thank you, @Mechanoise!