I've been on a couple of aurora searching tours, they either involve sitting around somewhere for hours and hours in the freezing cold or driving around for hours and hours, neither were in any way enjoyable. Both times cost a bomb and there was nothing more than grey lines to see with the naked eye, you could only see the green on the photos. If it's cloudy you won't see anything at all.
Much better I found was to stay just outside town and walk to an area with not much light and use a phone camera to take pics yourself. You can come and go as you please and it's free.
Don't stay in the ice hotels either, just go and visit in the day for about 100 times less cost. The people staying in them get kicked out during the day and you can walk around and see all the rooms. A lot of people who stay the night end up not sleeping in them all night and get up and go to the heated rooms I heard in Kiruna. The igloos are also often underwhelming and hideously expensive- loads of them all in rows, from what I've seen of them I'd give them a miss too.
If you go to Rovaneimi do not stay at the Santa Claus village or do any of their tours. You will be doing everything with a hundred other people and it will be far from magical. You'll be on a snowmobile in a queue of 50 people stopping and starting and crawling along at a few miles an hour. It's a fun place to visit and easily done by bus from town but it doesn't need more than a half day.
I've stayed in Kiruna - odd little town, Tromso - didn't like it much at all and Rovaneimi - far better with by far the best restaurants and not all horrifically priced unlike Tromso.
My advice is that you can do a trip fairly reasonably priced if you do it all yourself, don't spend thousands and thousands on it. Book flights with Easyjet or Ryan air, book somewhere on Booking or Airbnb and go on tripadvisor and find small set ups that offer small group tours to do dog sledding and snowmobiling. Get a bus to Santa Claus Village if in Rovaneimi, get a bus or group tour to visit an ice hotel.