A fully functional 2246A with a bright, sharp trace is a good deal for $250. That's the going price on eBay. I don't think you are quite ready to learn a scope, especially a sophisticated Tek 2246A. You need to nail down this power transformer/diode thing first. Then probably a lot more stuff. Honestly, I would put this amp project on the shelf and start with a simple Fender champ. Maybe even a kit. Plenty of documentation. A good project to learn some basics and get some hands-on experience with building and using that sophisticated Fluke. A scope is not a necessity for building an amp. I have an old Tek (but I made a living for 40 years looking at a scope) but rarely turn it on for my amp work. Until you can read a schematic and understand what's going on, a scope is just a complicated toy that may just baffle you. But once you understand the circuits a scope can be a real pleasure to work with.
You've shown an interest to learn and a willingness to research, so this is definitely something you can do. But, as the Ventures once expressed, "Walk, Don't Run".

PS... about the pics... Post some hi-rez pics of the outside and inside (guts) of the chassis. These kind of pics can help zero in on just all this amp can be. We need much bigger pics than that!