Is your current light a 15W flourescent tube? 18" long? I've never actually seen a 35 Hex in person so I can't exactly picture what the top of the tank looks like, so if any of these suggestions don't seem to make sense--well, it's my ignorance of the arrangement at the top that is the reason. So, as best as I can figure, you have a couple of options you could consider...
1. If you have space on top of the tank, you could purchase a second strip light of the same type as the one you currently have. This would double your light to 30W. The downside of this option is that you have two light strips on top of your tank, which is bulky and also requires two plugs (which may or may not be an issue depending upon how many other things you have plugged in).
2. You could replace your current strip light with an 18" incandescent strip light, such as
this one. Once it arrives, you don't put regular light bulbs in it (regular bulbs don't produce light at the proper wavelengths for growing plants) but instead, put in two spiral compact flourescent bulbs. These are made by several companies (GE and Sylvania are the most well-known), cost only a few dollars each, and are stocked by Wal-Mart, Home Depot, and other such places. You just need to be sure that you get bulbs with the right "color temperature" (K-rating). You want to be sure to get something between 5000k and 10,000K. I currently use this sort of setup on two of my 10 gallon tanks; I use 15W 6500K GE bulbs that I bought at Wal-Mart for about $3 each. As for how high you can go, you need to check the wattage rating of the strip light; mine is rated for 50W, so that means the highest you could go safely (without it being a fire hazard) would be two 25W bulbs. I don't know if CF's come in 25W size, I know I've seen 20W ones before. If you used two of those, it would give you 40W over 35 gallons of water...which is still very much low light, but at least better than what you have.
3. If you want to have a chance to grow anything more than the lowest of low-level lights, you're going to need to invest in a more high-powered (and expensive) lighting system--probably a "power compact" system. I'm totally out of my league when it comes to these, as I have never used them, but just doing a super quick search online, here are a few things I just saw online doing a quick search:
20" Orbit 2x40W plus Lunar Light for $130
20" Current 2x40W plus Lunar Light for $105
20" Coralife 96W quad tube Light for $100
If you can go up to 24" sizes, then for roughly the same prices (perhaps a tad more) you can easily get yourself up to 130W or more.
So it comes down to how much light you want, which will impact how much else you need to do. As a rule, if you are at around 2 watts per gallon (WPG) or less, you can get by without any CO2 or any regular fertilizer regimine. As you ramp up the light higher than that, CO2 starts becoming a better idea and beyond about 3 WPG, CO2 injection is virtually a necessity. Same goes for regular dosing of macro and micro fertilizers.
Last note: those lighting fixtures I listed above are just some samples of what is out there. I am sure that is not an exhaustive list, nor can I say if other options are "better" than those. The same can be said for the online site I linked them from; Big Al's is a good source of lots of aquarium stuff but they are by no means the only place, or even the best place, to buy such fixtures. They just happened to be one site I have bookmarked so that's why I linked from that site. Once you decide what you want, you may very well be able to get a better deal somewhere else.
Good luck!