I’m by no means a Lakes expert, but can offer a few suggestions.
Longside edge (Ullock Pike) often sits below the Skiddaw murk and offers lovely views.
Coledale Hause another option, pretty sheltered, decide on the day how high you want to continue.
Despite the business, Cat Bells is a lovely wee hill, can park in Little Town for a slightly different (quieter) way up
Up the spoony and round Lonscale fell toward Skiddaw house is nice too, could park at top car park and cut out spoony.
Up Gasgale Gill will offer a bit of shelter too, again go as high as you want to.
Sooooo many options, such a lovely area, we’ve booked a ‘last mortgage payment’ weekend away in the Lakes in January, really hope we’ll be okay to go.