Sorry, but you're showing your age. Most turntables these days don't have a dustcover, particularly at the high end. I exited my last table with a dust cover, a Linn, in the mid-80s. For a while I used to put a sheet of newspaper over the turntable when not in use but pretty soon I didn't bother. I have no problem with static or with dust.
It occurs to me it is possible that cleaning fetishists create static on LPs with all the cleaning. I only clean a record if I hear noise - Nitty Gritty, not US. I then put it in a fresh Nagaoka inner so I know it's been cleaned. I almost never have to clean it again. I have c.3000 LPs and have only bought a few 100 Nagaoka sleeves, so I haven't had to clean many. Most of my collection is second-hand but I am VERY careful to buy only records that look pristine and little played.