If you are looking for cozy and budget stays then these could be best options for you:-

Zostel Manali

The Neelgiris

Treebo Trend Hotel Dev

Hotel Out Town

Hello, hope you are doing well sure I can help you by recommending some of the best budget stays in Manali. Manali is indeed a beautiful place to visit there are a lot places to visit in Manali is Mall Road, Hidimba Devi Temple, Jogini Waterfalls, etc. Here, I recommend you some of the budget hotels :

1. La Vaca India Manali, it's a three star hostel situated near vashist temple.

costing Rs.735 per night for two rooms.

2. The Cultural Nation Hostel situated in Manali, 1 km from Hidimba Devi Temple.

Costing Rs.1220 per night for 2 rooms. 

3. Himtrek Camps Manali, camps are situated in a beautiful location in Old Manali, 2.8 km away from Hidimba Devi Temple.

Costing Rs.1184 per night for 1 room.

4. Woodstock Inn Manali, this is a 3- star boutique hotel situated 1.9 km from Old Manali. 

Costing Rs. 1888 per night.

I hope this information is helpful to you