I can confirm that you can purchase interest in oil & gas via self directed IRA/ROTH IRA. I was not able to find anything where it says you are allowed to transfer into ROTH.
Let me answer easy question first. Yes, ROTH earning grows tax free and any withdrawal is tax and penalty free if you qualify.
https://www.irs.gov/taxtopics/tc557
As for taking out a loan against the your interest in well will depend on few things. First and main, interest rate. At what rate you will get this loan? Will your investment in ROTH grow at least what you will pay in interest? Also are you eligible to contribute to ROTH? Is income from gas will be enough to cover loan payments.
I would not advise to sell the interest especially if you are getting nice income. Easiest and best option is to keep the interest in gas well and use income to fund your ROTH. Here is a link on who can contribute to ROTH.
Please note that passive earning from royalties is not earned income so if you do not have earned income form other activities, you cannot contribute to ROTH. If you have a working interest in a gas well, then you could use earning to contribute to ROTH.
https://www.irs.gov/retirement-plans/traditional-and-roth-iras
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