Kevin, It's is best to use the tp for rvs but the cheap one ply will work. If you use the cheap put a couple sheets in a jar filled with water and shake up. If it dissolves or breaks up pretty quick it's ok to use IMO
I don't think it really matters what you use as long as you use a fair amount of water - we flush twice - but here is some info on dissolving times of various brands. We use whatever my wife likes and have had no problems in the 8 years we have been full timing.
Brand...........................................Dissolving Time in Seconds
(lowest is best)
Charmin Plus 1-Ply..................................9
MD 2-Ply...................................................9
Coronet 2-Ply..........................................12
Angel Soft 2-Ply......................................12
Scott 1-Ply..............................................17
Soft 'N Gentle 1-Ply ...............................18
Soft Weve 1-Ply.....................................20
Marcal 1-Ply...........................................20
Soft 'N Gentle 2-Ply...............................21
Seventh Generation 2-Ply.....................21
Quilted Northern Super 2-Ply ...............69
Charmin Ultra 2-Ply ..............................77
Cottonelle 1-Ply ....................................96
Charmin 1-Ply .....................................180
The TPs with an Excellent disintegration rating from a Aug 2000 Consumer Report article are:
Albertson's Soft Choice Ultra
Safeway Select Softly Ultra
Quilted Northern Ultra Soft
Quilted Nothern Soft Prints
Target
Kroger
Angel Soft
Charmin Plus with Unscented Natural Aloe
SoftWeve
I understand there is a later consumer Reports study out but I don't have a copy.