If the check was payable to the participant, he would have had "constructive receipt" of the money. Accordingly, he would have had only 60 days to roll the funds over into your bank. As this check was payable to your bank, he never had control over the funds and there was no time limit in which the funds had to be rolled over.
The QRP will report the distribution on a 2015 Form 1099R.
However, the rollover contribution must be reported in the year it actually took place; i.e. in Box 2 of a 2016 Form 5498. There is no "prior year" contribution box or code on a 5498. Reporting it on a 2015 Form 5498 is simply wrong - the rollover did not happen in 2015.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.