I disagree that if an item says "dry clean only" that is the only way it can be cleaned. Yes, you should exercise caution when cleaning things yourself, but know that putting "dry clean only" on a care label is also a way for a company to cover its butt. (I have a degree in Textiles, Apparel, and Merchandising.)
The Dryel kits are great, I''m a fan. I''ve used them with wool garments and other delicate fabrics as well and had no issues. I think you could probably use Dryel for your throw as long as it is small enough to fit in the bag (the bags hold up to 4 garments if that gives you an idea).
Something else I think people don''t know about dry cleaning is that the chemicals or solvents used are actually really tough on garments. The more you dry clean an item, the quicker it will break down. If you wear a suit to work every day, invest in a valet where you can hang your suit pieces so they air out rather than stuffing them back into your closet where they don''t get as much air circulation.