Why not look at some restoration forums and ask what is best to refinish a slate fireplace. I dont think it'll be yacht varnish, not because of fireproof issues but I think its not the right stuff.
On the pamment stones in my inglenook we used boiled linseed oil (several coats) then a few coats of beeswax.
https://homeguides.sfgate.com/restore-slate-fire-surround-43067.html
https://www.amazon.co.uk/Stovax-4109-slate-dressing/dp/B007OA56K8
http://www.fireplacemall.com/blog/2015/10/how-to-clean-slate-fireplace/
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September 2019