You don't have to sell all your players.
Keep your best 6 or 7 and always have around 5 one * academy players who you have had for a long time. That way they bring your average way down compared to buying 3* players at the end of the season.
I play this way every season and it's easy to keep within the 35T budget.
Here's a screenshot of my end of season team from a couple of seasons ago, one of the 1* players has been with me for 11 seasons so is 55Q less than a 3* player.
It takes planning long term, but it works for me.
