If you are looking for some mindless knitting for a good cause, try Prayer Shawls. It's very easy, and if you contact local hospital's chaplan, they may be involved in this and looking for donations.
Prawl Shawl ministry is a service in hospitals and hospices for those in need of spiritual support. There is a prayer done with the shawl as it is draped onto the patient or a family member. It helps give support and comfort.
It's made with Lion Brand Homespun. 3 skeins is all you will need for one prayer shawl. Use size 11 to 13 needles. Cast on a multiple of 3 stitches, usually 60 is good. Row 1: K3 P3 repeat across row; Row 2: P3 K3 repeat across the row. This is not to make a ribbing fabric, so make sure you purl the knits, and knit the purls. Make the shawl long enough to be able to wrap around your shoulders. Place fringe evenly down the edges.
I find it very relaxing to work on these, especially if I am working on something else that is complex.