Purified RNA shoud be stored at –20C or –80C in RNase-free water. When isolated using QIAGEN systems, no degradation of RNA is detectable for at least 1 year under these conditions.
It is quite stable if stored in dilute TE (1 mM Tris/0.01 M EDTA) at a concentration of 1 mg/ml. For best stability, store as an ethanol precipitate. I have used RNA stored this way at least 5 years after initial extraction with good results.
RT for long-term storage is the best option, but you still need to store the cDNA in higher concentration of TE buffer (10 mM Tris/1.0 mM EDTA) as low pH can destroy even cDNA
Testing stored RNA for its quality is a very subjective thing and depends on the context.
You could run RNA gels under denatured conditions and look at the pattern - generally speaking, if you are getting two strong bands large and small ribosomal RNA, one assumes that the quality is decent enough.
If the RNA was already purified to separate/enrich for mRNA with poly-A tails, all you will see is a smear. You will have to compare the appearance of the gel run at the time of purification with what you see now.
Relatively speaking, qPCR is the quickest and a reasonable way to assure that you have useable quality RNA. Remember to amplify a few housekeeping RNA molecules, ideally representing a range of relative abundance.
By the way, RNA is RNA, there is nothing magical about miRNA except the quality of preparation and storage conditions.