I just use my deadlifts as a grip movement as well. Doing the odd sets of 5 on volume weeks works the grip really well. I tried doing alternate grip movements and forearm movements but this actually hindered my grip because I had sore muscles going into a deadlift workout. Just my two cents but I think that the deadlift is more than enough.
Deadlift with double overhand till I cant, then use mixed grip, but using the weakest hand over (palm facing you). Then when that burns out, I switch to my dominant grip.
Also when deadlifting, hold each rep at the top for a few extra seconds.
Finally, I just hold onto a chinup bar for as long as I can at the end of the session for three sets
sometime I tend to slip the bar a little when I do max effort deadlift but I still get it.Also i want to stay stable when i bench.lol I never did forarm so yea thats why but I started doing forarm about two months ago so everything is good so far.