Automating Lead Extraction from LinkedIn Sales Navigator with HeyReach

I have a "Following my company" group in LinkedIn Sales Navigator that is several thousand in size. Since LinkedIn limits an export at 2,500 leads, I am trying to figure out a way to use Clay integrated with HeyReach to automate the extraction of these leads. I am using HeyReach for LInkedIn Outreach, but also because it allows me to scrape as well. In a perfect scenario, Clay could automate the search criteria in HeyReach to scope down the list to 2,500 leads across various filters being applied, initiate an export, and then continue scoping down another group to 2,500, etc until all 100,000 leads have been extracted. Once all the lists are extracted, they would be imported to Clay, enriched with Company Domain and Work Email (verified), using Waterfall. Then research, and custom AI email personalization would happen, with the end result , being pushed to Instantly for a mass email campaign. Would anyone have any ideas on how to accomplish this? I know that at some point HeyReach is going to allow for exporting of more than 2,500 leads at a time, but I'm not sure they are there yet. Today, I do the search in HeyReach manually, with several filters applied to get the total number down to 2,500, but it is a tedious time consuming task. Thank you all in advance for your knowledge, ideas, and suggestions!