A lot of ales can be brewed in that range. Your question might be re phrased as; What yeasts brew good tasting beer in this temp range?
One should keep in mind that the fermentation temp usually runs a 3-5 degrees higher than ambient room temp. This would put your low end temp of 62F in a good spot for using ale yeasts such as US-05. In this temp range, you will have good luck making many recipes using ale yeasts.
If you can place fermentor where it will remain in the lower end of range, you should be good to go.
Unfortunately at the higher end of temp range, while making decent beer, one may get some off flavors and undesired esters with ale yeasts I'm familiar with. However, others here may have recommendations for yeasts that make good beer at higher end of your range.
Ideally, it is best if beer ferments at a steady temp, not swinging in the 7 degree range you posted.