In Brno you can find more then 90 hotels in every class. You can use or

Bed & Breakfast

There are arround 30 different B&B available in Brno with prizes between 21 € and 75€. For find such an place you can use

Youth Hostels

There are also some hostels and youth hostels in Brno (rates between 12€ and 20€). You can use to find one. At least you can try to find a couch for sleeping