You can only transfer up to 94999 SPG points into Alaska mile per day so you will need to do multiple transactions which is allowed.
Personally your best bet may be to transfer into American Airlines (same 94999 limit) and then you can get a business class ticket for 110,000 miles round trip so you have less to purchase.
In terms of finding available flights you can use KVS tool. Here is the link.
http://www.kvstool.com/