It depends on the method. I don't think I've ever met someone who likes condoms, and IUTs can be painful if something happens (personal experience). The only method I can think of would be birth control medication, which I know a lot of women use for hormone regulation. However, that's not fail safe. Some of my family member got pregnant while "on the pill".
Around here, all women are on the pill. You only get errors when they don't take it correctly, and there's the morning after pill for that. My personal experience with IUTs is that they work really well with no issues.
As for condoms, if you really must use them, simply pay extra for quality and there won't be any issues with how it feels. Most people negative experience with condoms are with those they give for free at schools and you might just as well use a thick rubber balloon at that point...
People who say that there's no difference with a condom are either lying, have never had sex without a condom, or have a serious defect in their nerve endings. Doesn't matter what brand, quality, or style.
The only people I've ever heard of liking condoms are the ones that have trouble with premature ejaculation, where the [significantly] reduced sensation can help them last longer.
You need to pay premium to get the thin ones and use plenty of lube. If you get the right ones, you will get all the normal feelings (heat, pressure, etc.) except for the wetness. It will not be the exact same feeling as sexual intercourse without a condom, but it will be close enough. That's a small price to pay to be safe with that one-nigh hookup.
If condoms are really an issue for you, get a stable partner that is on birth control.
I do not use condoms very often since I am in a stable relationship, but if I can manage to have a load of fun using sleeves that are as thick as dozen condoms and covered with speed bumps from time to time, surely you can manage the occasional thin rubber.
But I don't see how birth control would deprive you from pleasure from the sexual act. Both partners can get orgasms in safe sexual intercourses...