If the weather is nice Gummer’s How is a good option - drop the family off at Fell Foot Park by the Lake which is 5 minutes from the ascent of Gummers How and has nice views, water, a Cafe etc., or at the Lakes Aquarium on the other side of the lake which is about 10 minutes drive away. The ascent of Gummers How will take you around 20 minutes (either follow the path then up the last bit direct, or follow the path that loops to the right round the back), then expect around 30 minutes of activation on a good day, then 20 minutes down. They won’t know you’ve been gone! Gummer’s How has good take off to pretty much 360 degrees so if you look for alerts and time it right you can easily get summit to summit into Wales and the Pennines which is always good fun. When I last activated it there was a guy on Moel Siabod coming through at 5/9+ - I was on the FT-817 with whip and he was on a handheld with 1/4 wave whip. Bizarrely the curious bystanders were from close to Moel Siabod and were pretty impressed with the distance. They also helped with my pronunciation.
If you do want to try HF Gummer’s How is also a good spot because there is plenty of room to setup a dipole (I use the SOTABeams quad bander so it’s 40 metres end to end) without annoying folks visiting the trig stone. I’ve got into the USA, Canada & Russia before from Gummer’s How on the FT-817 on 2.5 watts.
If you want more challenging then The Old Man of Coniston on a nice day is hard to beat, an obvious track up from Walna Scar Road car park and if you are fit it’s around an hours hard ascent with great views all around, and on this ascent you’ll pass through the abandoned slate mines. You could always get up early and attempt a morning activation - but if you do post an alert in good time and self spot to ensure the chasers are out of bed! I failed to activate on a very early wet Sunday morning (due to radio issues with the weather) but had a glorious evening activation the very next week (I shared the summit with a photographer who took some stunning pictures and a video with some radio in).
I’ll be around next week so please do alert, preferably the night before. You’re likely to get contacts from the regulars including myself in Windermere, Sue from Lancaster, Geoff from Annan, Tony from Penrith, David from Ulverson and probably others on the Fylde Coast and North Wales. If you want any other ideas, or maybe have a go at a Wainwright with the family see my QRZ page for other places I’ve activated in the Lakes.
Best of luck, Mark.