NEO's a good one. Just put the coins in the Neon wallet and and they'll earn GAS.
ARK is another one. Its a little more complicated since its DPoS. Basically you transfer your funds to a wallet (like their Desktop ARK wallet), and vote for a delegate. The top 51 delegates get to stake ARK and reward their voters. Each delegate has their own proposals, like % paid out, covering transaction fees, and payout frequency. If you google it you'll find their forum with delegate proposals to pick one if you wanted to stake this coin.
DV7, XPTX, RAIN, MONK all good coins, but may stretch the concept of low budget. DV7 is probably your best bet right now, depending on how much BTC you can invest. You would need to buy around 15K DV7 to get regular stakes though.