There's only two problems with that. First of all the balanced feedline. You may have to make it yourself. Don't worry, we covered feedlines just over a week ago.
Then there's the antenna coupler. Some people feed tuned feeder doublets with a regular unbalanced antenna coupler and a 4:1 balun connected to its output. Yes that will 'work'. But it's not the most consistent arrangement and there may be significantly increased losses on some frequencies.
The solution is to use a balanced antenna coupler. These are not that common commercially. But you can build your own. Some good ideas are presented below.
Link coupled antenna tuners Some ideas from W4RNL
Wide range balanced antenna tuner by W5JXM
QRP balanced antenna tuner by OZ1BXM
Symmetrical matchboxes many ideas from DJ0IP
W4MMQ Legacy balanced antenna tuner Very simple!
A balanced antenna coupler and multiband dipole One of my videos
Inductors can be made at home. But you will likely need to shop around for the variable capacitors required, most likely at hamfests.
PS: The items below may assist your experiments. They are affiliate links meaning that I receive a small commission (at no extra cost to you) if you decide to purchase.