Replace tiny resistor with a physically larger one?
STOP !!!  

Even though it may SEEM harder, you will probably find it easier to solder in a replacement part that is the same. You will never regret being able to do this once you learn how. If you have the original part still you can probably refit it this way. 

ENABLING TECHNOLOGY :-)   Get some needle point tweezers. They can be bought for very little cost. Like this or even "sharper". I have more thumbs than many people but can hold and locatesmall SMD components with tweezers like this. 



Get some good flux. MUST NOT BE ACID FLUX. At a pinch you can do without the flux but it helps vastly. Use a piece of wire or matchstick or similar to put a small amount of flux on each pad.

Note that the following is probably not the method you will find recommended in most places and probably not what you'd use long term. BUT it works well with little or no experience. Using needle point tweezers rather than mastering solder surface tension is the key to not having thje resistor stick to iron, flip vertically, wander off across board etc. 


Tin pads with std solder, nice shiny bloblet but not excessive or very lumpy.
Use tweezers to hold component and place in position. You probably don't need to see in detail as as long as you can locate it well enough the soldering step will work OK.Hold at mid body so pads at either end are not in tweezer contact. This is why you have needle points. This is much easier than you expected !!! :-). 
Use smallest soldering iron tip you have. If you only have "fence posts" wind some thick copper wire around iron tip, cut a SHORT extension at end of coil to use as tip. Tin with solder. Make sure you are getting good heat transfer into coil if you use that method. A small blob more flux now will help.
Use tweezers to hold resistor in position against pads. Will probably be above usual location due to new solder.
Heat one end until solder "gives" plus a little longer. Keep some pressure on resistor so solder melted end presses into molten solder. Note that you can do this OK with a MUCH larger iron than necessary.
Allow solder to set (second or few). Keep holding component with tweezers and heat other end. You MAY want to add a little solder. May. 


End result will not be beautiful and resistor may not sit down square but this should work for you.

Others are welcome to critique this as a recommended beginners method.
Remember what can go wrong for beginners with other methods.