Most GOOD tattoo studios are $100 an hour to $200 an hour. The one I use happens to be $150 an hour. Sounds like your tattoo will be at the hour mark or less, so I would say between $100 and $200. Probably closer to the $100 mark.
Advice? Do NOT bargain shop! You GET what you PAY for! My CHEAPEST tattoo was $125, and my most expensive was $600. Look at the portfolios, look for reviews … WAIT until you can afford it. And good luck!;)