Having said all that about power requirements and determining what loudness you need, and therefore your power needs...
The SPL calculated are at the Nominal impedance of your speaker (which you mentioned was 6ohm)
The impedance of a speaker is NOT fixed with frequency, it rises and falls - which is why speaker reviews plot the impedance to frequency on a graph.
Basically you need the amp to be able to handle the toughest impedance (and phase variation) -that your speaker can throw at it...
With a 6 ohm speaker, you need the amp to be able to cater to circa 4 ohm typically (and sometimes a touch lower)
8ohm speakers are easier to drive.
And power specs as well as current load tend to be quoted at different impedance levels... indicatively, whatever power your amp puts out at 4ohm, it will put out half as much at 8ohm, and twice as much at 4ohm - so when doing your SPL calculations you need to know at what impedance you are calculating.
An alternate approach (and one often taken for obvious reasons) - is to approach it with dramatic overkill....
I run a pair of Crown XLS2500 amps, capable of 440W @ 8ohm and 1200W @ 2ohm - they do the job. (and are available on the used market at bargain prices!)
I also have Quad 606 power amps capable of 135W @ 8ohm but only 90W @ 2ohm.... they also do the job (based on my subjective auditions)
I have difficult speakers with impedance dropping down to 1.6ohm - so I tend to use the 2 ohm specifications as my benchmark.
The Quad amps with only 90W @ 2ohm.... are providing the equivalent of 45W @ 4ohm... and with my speakers being specced nominally at 4 ohm, that is the impedance at which I calculated the SPL requirements.... and yes they can provide the required loudness without stress.
NOTE: both these power amps, can drive 2 ohm loads without instability or other issues
To give a negative example - my 100W @ 8ohm 2 channel, AVR, sounds terrible with my speakers. - in theory you would think it has enough power @ 100W.... but it is not specified for 2 ohm loads - and it ends up sounding like rubbish. (basically, various distortions increase at lower impedance if it has not been designed for it!)
If you are somewhere where the Crown amps are readily available, you should be able to pick up something like an XLS1500 - which would provide ample power for almost any circumstance, and is built very rugged, for pro band/dj/pa use.
(I picked up my XLS2500's for only US$250!!)
Early generation Drivecore XLS amps would be XLS1500/2000/2500, current generation is XLS1502/2002/2502
Obviously there are many options in the used market, which would suit your budget, but a robust reliable amp is key if buying used....
Availability of different brands differs substantially by country.... Quad amps are readily available in the UK, not so much in the USA, and vice versa for Crown.