Even if the feed dogs won't drop...you can improvise a cover for them. a small piece of cardboard (a playing card, or back of a tablet) taped over the feed dogs will work, so will a piece of plastic from a lid. It will make noise, but will let you quilt. You may or may not have a darning foot...you should have one, but can do without, but must remember to put the foot lever down even without a foot. Without a foot you really have to watch the needle...don't want to sew your fingers...that hurts & yes, I have done that!
Most Kenmores came with a darning foot...you can buy them...just buy for the shank you need (high, low, slanted).
Patsy Thompson has some good videos on this. Some are on youtube.