The points:

1. If we're talking of the hedonistic interpretation of happiness, this can go various ways and all ignoring money for the most part. To the Epicureans, being able to produce as much pleasure with what you got while keeping it moderate was key to happiness. Some hedonists just see pleasure equaling happiness and just live through it. Others view that punishment along with pleasures can sustain happiness. All-in-all, money can take little importance in the hedonist branch and just end up being a mere means that's forgotten when pleasures are being experienced through and through.
2. If we wish to keep the theme of philosophy alive, then it's worthy to bring up Eudaimonia and Aristotle. Albeit Aristotle meant Eudaimonia as the "Good Life" essentially, it still equates to happiness. And having the "Good Life" can happen in various ways for people and barely any involve money as a part of it. (Albeit, like the last one, it is nice to have, but not that necessary.)
3. If we wish to tone down a bit, happiness doesn't need to be derived in happiness and money doesn't have to give out happiness - it can bring trauma and anxiety on how to maintain and spend it. Along with that, as wealth starts accumulating, the more you tend to buy things to buy things - to fit into something that you weren't born in and shall reject you as soon as you lose everything or get caught as a freshly rich person. In fact, the poor often cherish every dollar because that's quite literally the only means they have when it comes to survival - for all goods needs cash to live on with. In fact, going back a bit, using money for the bare essentials and not buying luxuries tends to make people more grateful, thus more happy, since they buy things for a reason than buying things for the sake of it or being in a fad.
4. Going on with materialism that I half-ærsed in the last point, there's more that should be said. The culture of consumerism and materialism, and this isn't meant to target those affected as they merely have been taught, lived through and had no other option to escape such, has produced more regretful and sad folk. Due to the fact that fad culture prevents a rationalization of the purchase of a commodity and is soon discarded and regretted that they ever gotten onto that train. We buy not because of a fad, but because we think it'll be the last shift for a while and we can all just let this one ride through its course without derailing it so quickly.
5. And to talk of essentials, a lot of labour and cash is needed. But that's dwarfed by all the prices of contemporary luxuries commodities that certainly have no use-value out of culture and displaying an investment of one's wealth, that could easily diminish if not maintained well. What I need is more important than what I want, that distinction should've been already clear by now - thus, I can safely state that the money I need and want are two different things. Furthermore, what I need to be happy is dependent on my material conditions and my social relations - and most humans just rely on essentials than they do with luxuries.
6. To get away from that all: if we reduce happiness to a mere chemical reaction like dopamine, then all we should care about is replicating that. Thus, what we perceive as happiness to our Subject ought to be struct many a times by producing it at a safe rate so we can enjoy while being happy. Which can be done by even faking a smile! You'll be better off with that than not smiling at all - the freest action one can do if they wish to be happy, just make sure it's done in appropriate areas and not where it can be misinterpreted.
7. To go to psychoanalysis in general, just meeting but never surpassing our desires is just enough to feel enjoyment which can cause us to be happy - and most desires aren't pegged to a dollar and can be wildly dumb and stupid 'til you look at the other desires and how others can possess that same desire.
8. To go to love and such, being around your spouse can create all the happiness in the World you can ever wish for - and cost not a dime when you hang out with them. Just remember to keep your fantasies about the partner in check, lest you want a breakup or a realization that fantasy-object of your spouse is quite different from the actual spouse.
9. Happiness can even come about doing your hobbies and trying to fulfill it on a day-to-day basis. Some hobbies can be expensive but most tend to be quite cheap - commitment may be costly in the long run, but short runs of such can be quite cheap to begin with.
10. To go on about hobbies, taking drugs can bring you to many states, but focusing and doing drugs that are guaranteed to bring happiness, implying you don't royally peck it up, can bring about happiness. Some invoke ecstasy-esque states where you feel Heaven has touched your fingertips, some can nullify pains to where you can start feeling other emotions freely, some make you out there and can definitely lead to good trips and some help you stay awake and feel no more of the grouchiness of sleep. Whatever the drug may be, there are many out there that can act as means to the happiness you may want to strike a cord with.