Are you still interested in magnetic or non magnetic? I would recommend a cheap 15 or 16 inch folding board you can get from Amazon. I would also recommend getting a 3 inch wooden pieces from houseofchess.com The 3 inch Popular Staunton set is just right for that size of board. Big enough to work on chess puzzles and analysis. Yet small enough to have a small footprint.
Popular Staunton Wooden Chess Pieces King Size 3" Golden Rosewood/Boxwood (houseofchess.com)
Price range would be 100 or less USD
Thanks so much