My approach would be to utilise the two main forms of media available in most languages - TV / Movies and radio.
TV / Movies
Georgian TV live
Georgian to English movie subtitle quiz
My go to stop for language resources is the reddit /r/languagelearning wiki. They have a Georgian resource section here
Unlike the cases when learning resources are abundant, and it may be relatively easy to arrange yourself a self-learning curve, studying "rare" language is trickier.
If there is not much learning materials, literature, classes, and language proficiency assessment, your maybe only two options are:
Visiting the country of interest (which ...
The way I learned is as follows:
Train yourself to become aware of your glottis and perform a glottal stop at will. You can train pronouncing 'uh-oh' and observing what happens between those syllabes. Also when coughing, you will close your glottis before the cough. You may also try to inhale air and try to stop the flow with your throat. Train youself to ...
As a start, you could try free vocabulary builder apps for Android like
Beginner Georgian or
Both apps keep track of what you've learnt and teaches you new words at your own pace.
In addition to previous good answers, I wouldn't say that online resources to learn Georgian are that scarce. Just by Googling "learn Georgian" you can find a handful of free courses and resources in English, and the same is true for Youtube.
Instead of Stack Exchange sites, where questions about Georgian are off-topic, I would recommend asking in https://...
It is impossible to guess what you are doing wrong without seeing and hearing you, but there are a number of online resources that may be useful, not just for Georgian but also for other languages with a "rolled" r:
How to roll your R's - Exercises that work!, an 8-minute video on the YouTube channel Real Russian Club. This has very detailed instructions. ...
First of all, be aware that realizing the alveolar trill (rolling r's) is a difficult thing. Not only do many second language learners struggle with it, but it is also one of the last sounds that (for instance Spanish) children learn. Actually, some people whose native language makes use of rolled r's never get it right. One famous example is Lenin.
One way of dealing with the issue is finding more resources, as several of the other responses have suggested. See for example:
Shorena Kurtsikidze's website Georgian Language through Cultural Context.
Learn Georgian online - for free using book2, a book accompanied by a Android app and an iOS app.
Ingrid Roseburg's German website georgisch lernen.