Dotty, you've been to the Vintage Sewing Machine Shop on this board, haven't you? Here's the link in case you haven't:
http://www.quiltingboard.com/t-43881-1.htm
I have a small collection (about 20) of vintage sewing machines. I do have some Kenmores but so far, my 3 favorite models to sew on are Singer 15-91($100 w/cabinet & bench), FW ($250) and Singer 99 ($40). All of these came with oodles of attachments. They are known for their straight stitching.
All of my vintage machines have been purchased on craigslist. I am such a fan of craigslist. I also bought my Bernina Artista 200 embroidery machine on cl. :-D
PS: I can't imagine you without a sewing machine!!! Also, I would recommend you keep your Kenmore even if you do find a replacement. Maybe Billy can help you in the Vintage Shop with the Kenmore.