As a minimum I suggest that you consider impedance, power handling, and sensitivity.
Impedance:
1. With a tube amp you get the same power as long as the amp sees the expected load. For example if you have a 100W tube amp with 4 and 8 ohm outputs, you get 100W at either impedance.
2. Solid state amps
often* make more power as the impedance goes lower (* check the specs). If you have the V1 TH500, it is rated 250W at 8 ohm and 500W at 4 ohms.
Speaker Power Handling:
1. In general you should make sure the speaker's RMS rating is at least as much power as the amp can deliver. This can be tricky as speakers have different power ratings.
2. RMS Power--This tells you the long term power level the speaker can handle without overheating the voice. This is what most companies provide. GR Bass indicates the power rating of the AT110 is 300 RMS (AES standard).
3. Mechanical Power--This is related to how much a speaker cone can move before it starts to incur damage. The problem here is the mechanical power handling at low frequencies can be significantly less then a cab's RMS power rating. Unfortunately most companies don't tell you anything about their speaker's mechanical power ratings.
Sensitivity and Usable Power:
1. This tells you how efficient a cab is and allows you to deduce how loud it can play with usable power. Most companies provide sensitivity expressed as the SPL measured at 1 meter from the cone, with 1 Watt applied. GR Bass indicates the sensitivity for the AT 110 is 98dB 1W/1m.
2. Usable power is the lower value between how much power the amp can deliver and how much power the cab can handle. If you get an 8 ohm cabs the usable power will be 250W which is how much the amp makes at 8 ohms. If you get a 4 ohm cab the usable power is 300W because that is how much power a single AT 110 is rated for.
Calculated SPL:
If you know the usable power and sensitivity expressed at 1W/1m, you can use this formula.
Calculated SPL = 10Log(Usable Power) + Sensitivity
Calculated SPL of 8 ohm AT 110 = 10Log(250) + 98 = ~122dB
Calculated SPL of 4 ohm AT 110 = 10(log300) + 98 = ~122.8dB
Neither of these options provide what I consider adequate headroom. If you cab can't play loud enough, the tendency is to turn it up, which may result in damage.
So the 4 ohm cab should be able to play slightly louder, but there is a problem. How will you know when you hit 300W? The speaker won't necessarily tell you it's suffering damage till it's too late. So the 8 ohm cab is a safer option and it gives up < 1dB.
Extension Cab Benefits:
1. If you choose the 8 ohm cab you have the option of running pair if you ever need more volume than one cab can provide.
2. Usually an extension cab will be connected in parallel. If you add a matching cab in parallel, the combined impedance is 1/2, the combined power handling is 2X, and the combined Sensitivity is +3dB.
3. Pair of 8 ohm AT 110s
A. Impedance 1/2 of 8 = 4 ohms
B. Power rating 2 X 300 = 600W
C. Sensitivity 3 + 98 = 101dB 1W/1m
D. Usable Power 500W. The TH500 is rated 500W at 4 ohms.
E. Calculated SPL Pair of AT 110s pushed by TH500 = 10Log(500) + 101 = ~128dB.
If the specs are reasonably accurate, a pair of AT 110s pushed by 500W is likely to meet most of your volume needs unless you play stupid loud.