The resort fee at GVR is $24.99 per night plus taxes. Yes, it is off the beaten track, but if you are only staying for a few days, you could get away without one though the cab fare will be pretty high. You will have a wide variety of restaurant options both in GVR and the adjoining District.
GVR is a top notch resort with large, well appointed and maintained rooms and an excellent pool. I think you will be happy. I have seen a few Groupon type offers for 1/2 off rack rates so I would not book too far in advance unless you can cancel.
If you are on facebook, like GVR and you will find there are periodic postings of room sales. If not, check the GVR website frequently under Promotions for sales. Right now it is 20% off, but I have seen 40%.
As to budget friendly options, I would include Sunset Station and Fiesta-Henderson. Their respective resort fees are $14.99 and $9.99 and they are a few steps down from GVR in quality and would require a car.
Another alternative, one I prefer if you have a car rental, is South Point. Per mapquest, it is 6 miles, 10 minutes away though during the peak times it takes a few minutes longer. No resort fee and there are periodic room sales. Sign up for emails and/or like them on facebook. You receive 2 decent funbooks at check-in with some decent coupons.