You are not limited by Hardware (printer), but only by what the lab is willing to do.
In PS if you want to print this on an 8x10 sized paper, just resize it so that the vertical size is 10", and let the horz dimention fall where it may. When you print, you just center the image. The term we used to use in the printing biz was full bleed which means to include all the image. The end result of course is White Space on both sides.
That however really does not matter because no print is really complete until you mount it, and in this case you would want a matt. You can drymount it, or use whatever process you desire (double sided photo tape is a poor mans drymount press) and position it on 11x14 foamcore or mount board. Then you just need to cut a matte the appropriate size.
You can have ALL this done by labs, and/or framing company. Expect to pay an arm and a leg if you choose to get it mounted and matted by a framing company (maybe $25 or more). Unfortunately there is really no way to get custom matts cut unless you want to purchase a matt cutter. The 45 degree bevel is somewhat essential for making the matte look good, and cutting it with an exacto knife will work, but it's difficult to make it look professional.
These types of issues are things that most photo 101 classes deal with, and if you ever decide to take a class, bonus, most colleges and darkrooms where such classes are done provide access to dry mount presses, matte cutters, and positioning tools.
