It would be helpful if you defined the decks you're talking about. Tag Me and High Link are not often combined, as far as I know. Although both can create a robust DLR-engine, they have different weaknesses.
Scarcity of Resources may be considered a tech card, but it really isn't, since almost all runners have resources. And, nowadays most Corps want some currents to at least turn off runner currents. The All-Seeing I is a tech card, but it can cripple the tag-me high resource decks (just watch out for Activist Support and Fall Guys).
Some High Link DLR decks that clear tags at the end of the turn, tend to only run AI breakers, so if you have a few anti-AI ice, you can probably close out games before they mill you out.
Having an astronomical amount of credits can be useful too. Against tag-me you may consider trashing their resources. And against tag-clearing high link runners (with Citadel), you could try to beat that trace and take out the important resources next turn. Most, likely they will just slow them down until they amass their own credits or redundant copies of resources. So, you have to also be advancing your win condition while getting those credits, so you can take advantage of them slow slowing down.
As you can see there are different approaches based on what type of runner they are. So, most likely additional advice will depend on knowing the specific deck archetype you're talking about.