Dry hopping for a day or two at tail end of fermentation is rushing it. I dump yeast at the tail end of fermentation as long as most of it has flocced. Dry hop for around 4-5 days at around 60-70 then crash and dump hops. Let things settle for another day at room temp (dump more hops) and then keg. As long as you can keep that pressure build up it fill work. I don't have a great way of cooling with the conical (no glycol) so I've been using an old big kettle with ice and cold water to pump through the cooling coils. You can dry hop for a day or two but the beer needs to be finished and cool, also re-circulation helps. I believe
@couchsending has luck with cooler temps and shorter time.