I don’t think that there are any best Monacoin faucets available on the web. In my opinion, don’t waste your time in finding such kind of ways to earn free tokens online rather mine some coins with your unused computing power.
About Monacoin –
Monacoin uses Lyra2REv2 PoW algorithm, gives Block reward of 25 MONA and Block time is 1m 33s. Mining Difficulty is 41,923.158.
Checkout Monacoin mining profitability on Whattomine from here