Hello, and sorry you're having problems. We are now connected on this website- which saves you money over having a Tech come to your home, and in many cases we can fix the problem you're having. In other cases, these things do require additional parts to fix. But I can help you with that as well.
The logo remaining stuck on the screen means the Mainboard in the TV is locking up. These sets aren't designed to lose power generally, and a blown fuse does mean there was lots of current in the AC line, which eventually damages the Mainboard.
You can try leaving the TV unplugged for several hours or more in the hopes that it resets the processor, but if it does not then this would indicate the Mainboard has failed and needs to be replaced.
If this is something you're looking to do yourself let me know and I will dig for a source for the part. Otherwise a shop will generally charge $225-$250 parts and labor for this repair.
Feel free to reply back if you need more help, or want to reply back with more details. It does not cost you anything more to reply back once you've rated. Please do rate me positively (at least 3 STARS) and I will continue with you until this is sorted. The positive rating ensures I am credited for my work.