www.venere.com and be sure to click on the B&B tab to see those options also. If you search on "promo venere" you can usually find a number code good for a 4% discount.
Also, Holiday Inn had shuttle service to the airport at least a couple years ago. Do check out their hotels in the general area.
"Budget" means different things to different people. You might specify your $$ limit? Though Ryan air and "shuttle" were clues.
You probably won't find any bargains in Venice as it tends to be relatively expensive, but the above two options will give you an idea of rates in general.
Romelle