I am afraid , that before bull run such coin might have problems. I don't want coins above $100, so that it will be possible to run on good profits if the investment works.
Dogecoin doesn't look like it has any challenge or problem and that is not going to happen before the bitcoin halving. So to invest in dogecoin may be profitable and the price is quite good @ $0.059 from CMC. However, you have to DYOR but base on what you are asking for, I think that will also help your enquiry.
It's quite refreshing seeing a hero member to recommend a meme coin although it's not an any other meme coin but it was the first one and currently at the top. DOGE coin actually has a challenge or a problem and that is it mainly relies on the manipulation. Currently it was Elon Musk who is known to be the main controller of the coin.
DOGE coin might only be very cheap and is qualified on the budget of the OP but low price isn't all. OP should change this as a criterion for picking a coin. BTC might be expensive crypto right now, but we are not forced to buy a whole of it if we lack in budget. The small money we can allocate for investing is always enough to get some portion of it.