Unfortunately there isn't an easy way to do this with a search on LinkedIn campaign.
The best way around this is to either use one of our 3rd party integrations. Growlabs is probably your best bet, since you can setup filters to exclude certain industries.
Another way to set this is up it so build your own list and use the Zapier or CSV upload to run the sequences.
You can also filter your search to include only the industries you want.
We are in the process of building Sales Navigator advanced search filters for Search on Linkedin campaigns.